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Cebalrai

Cebalrai
β Oph Magnitude 2.76
«The dog that guards the threshold between life and death»
Nature of the star: Saturn Mercury

The star β Ophiuchi, known as Cebalrai, bears the Arabic name "Shepherd's Dog" — an image of a faithful guardian who watches at the boundary of worlds. Its light flickers near the northern knee of Ophiuchus, as if reminding of unceasing attention to boundaries and transitions.

Mythology and cultural traditions

Cebalrai, whose name translates as "Shepherd's Dog," belongs to a broad circle of myths associated with the constellation Ophiuchus — a figure personifying the healer Asclepius. In Greek tradition, Asclepius, son of Apollo and the nymph Coronis, was such a skilled physician that he learned to resurrect the dead. This angered Hades, who complained to Zeus, and the thunderer struck the healer with a lightning bolt, later placing him in the sky. The shepherd's dog in this context is not merely an animal but a symbol of vigilance and loyalty, accompanying the healer on his journeys. In Arabic astronomy, the star was part of the asterism "Shepherd's Dogs" (Al Kalb al-Rā‘ī), which also included neighboring stars. The shepherd here is Ophiuchus himself, herding flocks of stars, and Cebalrai is his faithful dog, guarding the boundaries of the celestial pastures. Richard Hinckley Allen (1899) notes that in ancient Mesopotamia, the star may have been associated with the image of a guardian of the gates of the underworld. In Egyptian tradition, it was associated with Anubis — the jackal-headed god, guide of souls to the afterlife. The common motif is a being standing on the threshold between life and death, guarding the boundary of worlds. This star is not just a shepherd's dog, but a guardian whose bark warns of the approach of the invisible. Bernadette Brady (1998) emphasizes that at its core, the myth of Cebalrai is a myth of loyalty and service to a higher purpose, even if that purpose lies beyond the understanding of ordinary people. The shepherd's dog does not ask why the master leads the flock here and not there; it simply follows and protects. Thus, Cebalrai in a horoscope indicates the need for unconditional devotion to one's path, even if it leads through darkness.

Classical astrological interpretation

In traditional astrology, Cebalrai (β Oph) is known as a star of the nature of Saturn and Venus, giving it a dual but restrained character. Vivian Robson (1923) writes: "This star gives discernment, love of science and occult knowledge, but also a tendency to solitude and melancholy." He also notes that in conjunction with Mercury, it may indicate abilities in astrology or medicine. Claudius Ptolemy in the "Tetrabiblos" (2nd century c.) attributes the bright stars of Ophiuchus to the influence of Saturn and Venus, which he also confirms for Cebalrai: "The stars in the knees of Ophiuchus are like Saturn and Venus." This combination gives, on the one hand, the discipline and seriousness of Saturn, and on the other, the gentleness and sensitivity of Venus. Reinhold Ebertin (1971) emphasizes that Cebalrai is associated with "loyalty, devotion, and service," but warns that under negative aspects, "fanaticism or blind adherence to authorities" may manifest. Bernadette Brady (1998) adds: "Cebalrai is the star of the watchman. It gives a person the role of an observer at the boundary, one who sees what is happening at the threshold and decides: to let through or to stop." In classical astrology, the star is also associated with medicine, especially surgery and the treatment of wounds. Robson (1923) mentions that in conjunction with Mars or Saturn, Cebalrai may indicate "danger from animal bites or poisonings," but this should be understood in the context of the boundary archetype — the star warns of the need to protect one's borders. Overall, Cebalrai is a star of steadfastness and endurance, but it requires a person to be aware of their position at the crossroads of worlds.

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Cebalrai in real horoscopes

The analysis is built on our own database of 13 charts of famous people, 9 historical events, and 20 independence charts — with precise calculation of conjunctions using the Swiss Ephemeris.

In charts of famous people

Scientists and Inventors

Among scientists and inventors, the archetype of Cebalrai manifests as the ability for breakthrough discoveries that overturn established notions but simultaneously isolate their bearer from the scientific community or lead to internal conflicts. This star, like a shepherd's dog, directs the mind towards unconventional paths; however, the price of such a gift is loneliness and misunderstanding. A planet in conjunction with Cebalrai becomes colored by its intense, almost destructive creative potential.

Isaac Newton (Mercury in conjunction with Cebalrai, orb 0.58°) is a striking example of this archetype. His discoveries in optics, mathematics, and physics, including the law of universal gravitation published in the "Philosophiæ Naturalis Principia Mathematica" (1687), shattered the Aristotelian worldview. However, Newton was known for his reclusiveness, suspiciousness, and fierce disputes with colleagues such as Robert Hooke and Gottfried Leibniz. His Mercury, the planet of mind and communication, in conjunction with Cebalrai gave him extraordinary discernment but also a tendency towards isolation and conflict. Newton spent years on alchemical and theological research that remained unknown during his lifetime, highlighting the duality of the star: it reveals secrets but compels their concealment. His apple is not just a metaphor but a symbol of sudden insight that comes to those ready to look beyond the obvious, even at the cost of personal peace.

Power and Statesmen

The archetype of 'Power through violence', associated with Cebalrai, manifests in statesmen not as open aggression but as the ability to legitimize violence through political institutions. These people operate within state structures, but their decisions lead to mass casualties, and power itself is built on the suppression of opponents. The star, in conjunction with a planet, emphasizes that violence becomes not just a tactic but the foundation of their political existence.

Yasser Arafat, leader of the Palestinian National Authority, has a conjunction of Cebalrai with Saturn in his natal chart. Saturn, the planet of structures and boundaries, here amplifies the star's archetype: his power was built on armed struggle and terrorist methods, including the organization of attacks on civilian targets in the 1970s. Arafat led the Palestine Liberation Organization (PLO), which used violence as a tool of political pressure. Saturn in conjunction with Cebalrai indicates that his authority rested on fear and strict control, and the Oslo Accords (1993) merely masked ongoing violence. The orb of conjunction 0.02° speaks to a crystal-clear manifestation of the archetype: his political career was inextricably linked to armed resistance, not diplomacy. Even after receiving the Nobel Peace Prize, his rule remained authoritarian, with suppression of dissent and the use of violence against his own people. Thus, Cebalrai through Saturn made violence an integral part of his state power.

Artists and Creators of the Tragic

The group of artists and creators of the tragic associated with the fixed star Cebalrai demonstrates the archetype of "creativity through darkness." These individuals did not avoid the dark aspects of existence but, on the contrary, immersed themselves in them, transforming pain and destruction into works of art of enduring value. The star endows them with the ability to work with destructive material without being destroyed by it, but rather transforming it into something eternal. In this context, one prominent representative of this group is considered — Vincent van Gogh, whose Jupiter was in conjunction with Cebalrai with an orb of 0.98°.

Vincent van Gogh (1853–1890) was an artist whose biography is full of tragic events, yet they became the source of his genius canvases. The conjunction of Jupiter with Cebalrai in his natal chart indicates an ability to expand the boundaries of creativity through contact with darkness. Jupiter, the planet of expansion and higher meaning, in conjunction with this star gives not just an interest in dark themes but the ability to imbue them with philosophical depth and universal significance. Van Gogh created masterpieces such as "The Starry Night" (1889) and "Irises" (1889), where through swirling brushstrokes and vivid colors he conveyed inner turmoil and the beauty of the world. His life was marked by episodes of mental disorder, culminating in the cutting off of his ear in 1888 and his suicide in 1890. However, it was precisely these sufferings that allowed him to see the world differently and capture it with incredible emotional power. Jupiter, being the planet of wisdom and luck, in conjunction with Cebalrai transformed his personal pain into a universal language of art that still moves viewers. Thus, van Gogh embodies the archetype of "creativity through darkness": he did not avoid destruction but made it the foundation of his creative method, creating works that outlived him.

Modern Celebrities

The archetype of Cebalrai, the Shepherd's Dog, in the group of modern celebrities manifests as a public ordeal — sharp rises and falls, scandals, personal tragedies that expose the fragility of fame. Planetary conjunctions with this star indicate the sphere through which "severance" from ordinary life occurs: media storms, loss of status, addiction, or violent death.

Tutankhamun (Sun, orb 0.27°), a pharaoh who died at age 19 after a short reign, symbolizes the sudden end of a monarchic line. The Sun, planet of power and life, in conjunction with Cebalrai emphasizes how his death became a public ordeal for all of Egypt, and his tomb, found millennia later, again sparked scandals around the "curse of the pharaohs."

Kate Middleton (Neptune, orb 0.38°) has endured public pressure as a member of the royal family: her personal life, pregnancies, and appearance are constantly subjected to media attacks. Neptune, planet of illusions and sacrifice, in conjunction with Cebalrai indicates that her role is to be a face periodically "severed" from privacy, becoming an object of public humiliation.

Lewis Hamilton (Mercury, orb 0.43°), a seven-time Formula 1 champion, has faced racist scandals and criticism for political statements. Mercury, planet of communication and speed, is here linked to how his words and actions cause sharp turns in his career — from triumph to condemnation.

Neil Armstrong (Moon, orb 0.52°), the first man on the Moon, led a reclusive life after his famous mission, avoiding publicity. The Moon, planet of emotions and the past, in conjunction with Cebalrai reflects how his greatest triumph became a personal ordeal: he felt "severed" from normal life, and his words "one small step" haunted him until his death.

Queen Victoria (Uranus, orb 0.55°), who reigned for 63 years, endured a public mourning isolation after the death of Prince Albert. Uranus, planet of sudden changes, in conjunction with Cebalrai emphasizes how her withdrawal from public duties caused scandals and republican sentiments, and her long reign ended in an era of change.

Novak Djokovic (Uranus, orb 0.55°) — a tennis player whose career is marked by controversial moments: refusal of vaccination, deportation from Australia. Uranus, planet of rebellion and surprises, here manifests in how his decisions lead to public falls and legal proceedings, "severing" him from his usual status as a public favorite.

Thomas Edison (Moon, orb 0.59°) — an inventor whose reputation is tarnished by conflicts with Nikola Tesla and accusations of plagiarism. The Moon, planet of habits and the past, in conjunction with Cebalrai shows how his legacy became a battlefield: he was "severed" from the image of a pure genius, portrayed as a businessman.

Yuri Gagarin (Moon, orb 0.61°), the first cosmonaut, died in a plane crash at age 34. The Moon, planet of emotional memory, is here linked to how his heroic image was "severed" by a tragic death, which became a public ordeal for the Soviet people, and the circumstances of his death were long concealed.

Benjamin Franklin (Mars, orb 0.74°) — a politician and scientist whose life was full of public confrontations: from the War of Independence to scientific disputes. Mars, planet of action and conflict, in conjunction with Cebalrai indicates how his energy was directed towards overcoming crises, and his death became an occasion for national mourning.

Lionel Messi (Uranus, orb 0.77°), a footballer, experienced a scandal over tax fraud and a tearful departure from Barcelona. Uranus, planet of unexpected breaks, here manifests in how his career, which seemed eternal, suddenly ended, causing public humiliation and lawsuits.

In charts of historical events

The star Cebalrai, known as the Shepherd's Dog, carries the archetype of a faithful guardian guiding the flock. In historical events, its influence manifests as moments when collective or individual actions become catalysts for change, leading to the ordering or protection of a community. This star does not so much destroy as it pushes towards consolidation around an idea or goal, often through unexpected impulses.

Founding of OPEC (Jupiter, orb 0.07°): In 1960, five countries united to protect their oil interests, creating a cartel. Jupiter in conjunction with Cebalrai indicates the expansion of influence through collective wisdom, where the shepherd's star directs resources for the benefit of the group.

Arab Spring — Bouazizi's self-immolation (Sun, orb 0.12°): The Sun, symbol of personal action, here manifested as a spark that ignited a wave of protests. Cebalrai gave this act the quality of a shepherd's call, which gathered disparate voices into a single movement for dignity.

Balfour Declaration (Venus, orb 0.42°): Venus as the planet of diplomacy and values in conjunction with Cebalrai turned a letter into a promise that guided the destinies of peoples. The star here acts as a guardian of a promise, whose consequences unfold over decades.

First flight of the Wright brothers (Sun, orb 0.54°): The Sun with Cebalrai marked a breakthrough where human genius led humanity to new horizons. The shepherd's dog indicates the role of these inventors as guides into the era of aviation.

Presentation of the first iPhone (Mars, orb 0.65°): Mars, planet of action and innovation, in conjunction with Cebalrai gave an impulse that changed communication. The shepherd's star here symbolizes a device that became a new way to gather and direct information.

Liberation of Venezuela by Bolívar (Saturn, orb 0.77°): Saturn, planet of structure and responsibility, with Cebalrai reflects Bolívar's role as a leader who brought order to the chaos of war. The shepherd's star emphasizes his mission to lead the people to independence.

Ethiopian famine 1984–1985 (Jupiter, orb 0.89°): Jupiter in conjunction with Cebalrai here manifested through the expansion of suffering, but also through international response. The shepherd's star reminds of collective responsibility for the vulnerable.

Haiti earthquake 2010 (Moon, orb 1.00°): The Moon, governing masses and emotions, in conjunction with Cebalrai showed how a natural force could unite the world in aid. The shepherd's star here is the guardian of compassion.

Seoul Olympics 1988 (Saturn, orb 1.00°): Saturn with Cebalrai emphasized the organization and discipline of the Games, which became a symbol of unity after division. The shepherd's star directed efforts towards creating order and harmony.

In independence horoscopes of countries

In the independence charts of countries, Cebalrai manifests as a star marking moments when a nation finds its guardian or guiding force. This is often associated with leaders, ideas, or resources that become the foundation for a new state. An active star indicates fateful decisions shaping identity.

Cameroon (Mercury, orb 0.12°): Mercury in conjunction with Cebalrai at independence from France gave the country the gift of communication and adaptation. The shepherd's star helped unite Anglophone and Francophone regions.

Serbia (Pluto, orb 0.29°): Pluto with Cebalrai at the dissolution of Serbia and Montenegro symbolizes transformation through gaining independence. The shepherd's star guided the nation through the revival of traditions.

Montenegro (Pluto, orb 0.34°): Similarly to Serbia, Pluto with Cebalrai gave an impulse for separation. The shepherd's star emphasized the role of a small nation seeking its own path.

Antigua and Barbuda (Venus, orb 0.36°): Venus with Cebalrai at independence from Britain brought harmony and tourism potential. The shepherd's star guards the island nation.

Benin (Jupiter, orb 0.44°): Jupiter with Cebalrai at independence from France gave expansion through cultural heritage. The shepherd's star directs the country towards spiritual leadership.

Albania (Mercury, orb 0.51°): Mercury with Cebalrai at independence from the Ottoman Empire emphasized language and identity. The shepherd's star became the guardian of national self-awareness.

Niger (Jupiter, orb 0.55°): Jupiter with Cebalrai at independence from France indicated the resources and challenges of the desert. The shepherd's star leads the people through cooperation.

Antigua and Barbuda (Moon, orb 0.61°): The Moon with Cebalrai (second conjunction) strengthens the emotional connection to the land. The shepherd's star protects communal values.

Mali (Jupiter, orb 0.63°): Jupiter with Cebalrai at independence from France gave ambitions for cultural revival. The shepherd's star guides through history.

Burkina Faso (Jupiter, orb 0.66°): Jupiter with Cebalrai at independence from France emphasized struggle and dignity. The shepherd's star leads towards justice.

Brunei (Jupiter, orb 0.73°): Jupiter with Cebalrai at independence from Britain gave wealth and stability. The shepherd's star guards the monarchy.

Panama (Uranus, orb 0.73°): Uranus with Cebalrai at independence from Colombia brought innovation and the canal. The shepherd's star directs the country as a bridge.

Côte d'Ivoire (Jupiter, orb 0.74°): Jupiter with Cebalrai at independence from France gave economic growth. The shepherd's star leads through cooperation.

Venezuela (Saturn, orb 0.77°): Saturn with Cebalrai at independence emphasized structure and Bolívar's leadership. The shepherd's star became the guardian of the revolution.

Chad (Jupiter, orb 0.88°): Jupiter with Cebalrai at independence from France gave challenges and resilience. The shepherd's star guides through diversity.

CAR (Jupiter, orb 0.93°): Jupiter with Cebalrai at independence from France indicated potential and instability. The shepherd's star guards hopes.

Congo (Jupiter, orb 0.97°): Jupiter with Cebalrai at independence from France gave resources and conflicts. The shepherd's star leads towards unity.

Cyprus (Jupiter, orb 0.98°): Jupiter with Cebalrai at independence from Britain emphasized division and resilience. The shepherd's star seeks harmony.

Russia (Mars, orb 0.99°): Mars with Cebalrai at the adoption of the Constitution of the Russian Federation gave energy for reforms. The shepherd's star guides through law.

Gabon (Jupiter, orb 1.00°): Jupiter with Cebalrai at independence from France gave wealth and stability. The shepherd's star guards the heritage.

Astronomy

Cebalrai (β Oph) is an orange giant of spectral class K2 III, located approximately 82 light-years from Earth. Its apparent visual magnitude of 2.76 makes it the third brightest star in the constellation Ophiuchus after Ras Alhague (α Oph) and Sabik (η Oph). The absolute magnitude is about −0.1, corresponding to a luminosity 30 times that of the Sun. The surface temperature is estimated at 4500 K, and the radius is about 12 times that of the Sun. The name comes from the Arabic «كلب الراعي» (kalb al-rā‘ī), meaning "shepherd's dog." In astronomical tradition, the star is also known as Cebalrai, and in the Bayer catalogue it is designated as β Oph. In the constellation, it is located at the northern knee of the figure of Ophiuchus, near the border with Hercules.

Conjunctions with planets

How the star Cebalrai influences personality when in exact conjunction with one of the planets in the natal chart.

Sun The Sun in conjunction with Cebalrai gives a person the role of a guardian — they naturally find themselves at the boundary between worlds, be it life and death, the manifest and the hidden. Such people often become doctors, psychologists, or spiritual guides. They possess inner integrity and loyalty to their principles. However, a feeling of isolation is possible, like that of a shepherd who is always a little apart from the flock.
Moon The Moon with Cebalrai enhances intuition and sensitivity to invisible boundaries. A person keenly senses the moods of others and can act as an emotional buffer. A tendency towards melancholy and nocturnal reflections. In the negative — excessive suspiciousness or fear of the unknown. Robson (1923) notes that such a conjunction gives "a love of solitude and secrets."
Mercury Mercury in conjunction with Cebalrai endows a mind that is penetrating and inclined towards exploring depths. Good for astrologers, philosophers, investigators. Speech becomes weighty, words — like the bark of a watchdog: warning and guiding. Ebertin (1971) speaks of "the ability for concentration and spiritual quests." Sarcasm as a defensive reaction is possible.
Venus Venus with Cebalrai gives loyalty in love and friendship, but also a need for personal space. Relationships are built on deep trust and mutual protection of boundaries. Aesthetics lean towards the simple and functional. Robson (1923) points to "a tendency towards secret romances" — but this is more about the need to preserve the sacred space of love.
Mars Mars with Cebalrai — the energy of a protector. A person is ready to fight for their boundaries and for those entrusted to them. Aggression is directed at repelling threats. In profession — military, security guard, surgeon. Brady (1998) calls this "the star of the warrior-guardian." Impulsive decisions should be avoided, as anger can be destructive.
Jupiter Jupiter with Cebalrai expands the role of guardian to the scale of a mentor or spiritual teacher. A person protects not physical but ideological boundaries — traditions, faith, knowledge. They generously share wisdom but demand respect for established rules. Dogmatism is possible if Jupiter is afflicted.
Saturn Saturn in conjunction with Cebalrai is a classic position for an ascetic, hermit, or scientist devoted to serving truth. Discipline and responsibility are taken to the limit. A person may seem cold and inaccessible, but within them lies a deep loyalty to duty. Robson (1923) writes: "Gives patience and endurance in trials."
Uranus Uranus with Cebalrai brings unexpected breakthroughs in understanding boundaries. A person may become a reformer in the field of medicine or psychology, breaking outdated frameworks. A tendency towards eccentricity and sharp changes in life. Brady (1998) notes: "This star with Uranus gives insights on the boundary between sleep and waking."
Neptune Neptune with Cebalrai blurs the boundaries between worlds, enhancing mystical and creative abilities. A person may become a medium, poet, or musician, drawing inspiration from subtle planes. The danger is loss of orientation, escape into illusions. It is important to maintain an anchor in reality.
Pluto Pluto with Cebalrai — the archetype of the guardian of the underworld. A person confronts themes of death, transformation, and power. They are capable of passing through crises and emerging renewed. Influence on the masses — they may be a leader in crisis psychology or occultism. Caution with manipulation is required.

Star in conjunction with a planet in houses of the horoscope

The star itself is not "located" in a house of the horoscope. But when a natal planet is in exact conjunction with the star Cebalrai, the star's influence is colored by the theme of the house where that planet is placed.

1th house Cebalrai in the 1st house gives a person the appearance of a guardian: they look alert, composed, often giving the impression of someone who is always on guard. Fate places them on the front line, where they need to protect themselves and others.
2th house In the 2nd house, the star points to values related to security and boundaries. A person accumulates resources for protection; their income may depend on the profession of a guard, doctor, or manager. Material things are a tool for service.
3th house In the 3rd house, Cebalrai gives a sharp mind inclined towards investigating mysteries. Communication is an exchange of warnings and knowledge about boundaries. A possible role as a mediator between worlds, for example, a translator or psychologist.
4th house In the 4th house, the star makes home a fortress and family a sacred circle. A person is deeply attached to their roots but may sense a mystery hidden in the lineage. Home is a place where traditions are guarded.
5th house In the 5th house, Cebalrai manifests through creativity as service: art that protects the soul. In love — loyalty and a need to protect personal space. Children may be called to the role of healers.
6th house In the 6th house, the star is ideal for medicine, veterinary science, work with animals. A person finds their calling in caring for the health and safety of others. Daily rituals become acts of protection.
7th house In the 7th house, Cebalrai gives a partner-protector, but also a test of boundaries in relationships. Marriage may be a union of two guardians. It is important not to turn partnership into a prison of mutual obligations.
8th house In the 8th house, the star reveals its deep essence: a guide of souls, an explorer of death and rebirth. A person may work with inheritance, occultism, or crises. Transformation through service.
9th house In the 9th house, Cebalrai gives a mission as a guardian of knowledge. A person may become a teacher, preacher, or philosopher, protecting truth. Journeys are pilgrimages to sacred boundaries.
10th house In the 10th house, the star leads to a career related to protection and supervision: military, medicine, law. A person is known as a reliable guardian of the public good. Fame comes through service.
11th house In the 11th house, Cebalrai indicates like-minded friends united by a common goal of protecting values. A person may be a leader of a community protecting the weak. Hopes are connected with security.
12th house In the 12th house, the star is the guardian of secrets, the keeper of the collective unconscious. A person may work in isolation: a monk, a researcher of the hidden. The danger is becoming a prisoner of one's own fears.

Light and shadow sides

Light side

Cebalrai endows a person with loyalty, endurance, and the ability to be a reliable support. Like a shepherd's dog, such a person knows how to guard the space entrusted to them — be it home, family, an idea, or a cause. They possess deep intuition, allowing them to sense approaching danger, and wisdom to take timely measures. The discipline and patience given by Saturn help endure long trials, while Venusian gentleness softens the severity of the guardian, making them not just an overseer but a healer. This star gives the capacity for self-sacrifice for the sake of a higher good and the ability to find common ground with animals and nature. In professions related to boundaries — doctor, psychologist, military officer, ecologist — it brings success and recognition. The person of Cebalrai is someone who can be relied upon in times of need.

Shadow side

The shadow of Cebalrai is isolation and suspiciousness. Excessive vigilance can develop into paranoia, where a person sees a threat where none exists. Loyalty to duty sometimes turns into fanaticism and an inability to retreat, even when the situation requires flexibility. Saturnian melancholy can lead to despondency and alienation from loved ones. If the star's energy is not recognized, a person risks becoming a "chained dog" — an aggressive defender who attacks everyone who approaches, unable to distinguish friend from foe. In the negative, there is a tendency to accumulate grievances and a vengeful nature. There is also a possible loss of orientation, when boundaries become too rigid or, conversely, completely blurred. It is important to remember that a guardian must not only guard but also let through — otherwise, they themselves become a prisoner.

Cebalrai is not just a star in the sky but a reminder that each of us stands guard over some boundaries: our own or others'. Its light teaches us to be faithful to our path, not forgetting that guarding is not only about prohibition but also about care. Gaze into its flickering — and you will see a dog waiting at the threshold.
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Sources: Vivian Robson «Fixed Stars and Constellations in Astrology» (1923) · Claudius Ptolemy «Tetrabiblos» (II в.) · Reinhold Ebertin «Fixed Stars and Their Interpretation» (1971) · Bernadette Brady «Brady's Book of Fixed Stars» (1998) · Richard H. Allen «Star Names: Their Lore and Meaning» (1899).

Ephemeris calculation — Swiss Ephemeris (Astrodienst).