Geol 1420 Chapter 2.2

Astronomy Innovations: The Greeks

  • Based on Egyptian and Babylonian foundations:   - Extensive celestial records   - Constellations   - Measurement systems such as the 360-degree circle   - Ecliptic plane

  • Egyptians and Babylonians referred to planets as "the wanderers"; they believed that the stars were fixed and that the planets were special stars that could wander.

  • The term "planet" derives from the Greek word "planetes," meaning "wanderer."

Key Greek Philosophers and Their Contributions

Thales (624-546 BCE)

  • Developed the first known model of the universe which was not based on supernatural beliefs.

  • Proposed a flat disk universe floating on an infinite ocean.

Anaximander (610-646 BCE)

  • First philosopher to introduce the concept of the celestial sphere.

Pythagoras (560-480 BCE)

  • Suggested that Earth is a sphere.

  • Observed that the Sun, Moon, and planets have their own unique movements.

Heracleides (388-315 BCE)

  • Proposed that Earth rotates on its axis once per day.

Aristotle’s Influence (384 – 323 BCE)

  • Classified motion into three types:   - Natural motion:     - Objects move toward their "natural place" without external forces (e.g., a stone falling to the ground).   - Voluntary motion:     - Motion resulting from a choice (e.g., animals running).   - Forced motion:     - Motion caused by an external force pushing or pulling an object; motion ceases once the force is removed.

  • Stated that objects at rest remain at rest unless acted upon by a force, and objects in motion slow down unless a force is applied continuously.

Application of Mathematics and Geometry

  • The Greeks made significant progress in the fields of mathematics and geometry, applying these concepts to the natural world.

Euclid’s Postulates (Axioms) ~ 300 BCE

  • Key postulates proposed by Euclid include:   - Given two distinct points (A & B), there exists a unique line passing through them (denoted as l).   - A line segment can be extended on both ends to form a full line.   - A circle can be drawn with any center and any radius.

  • Additional postulates include:   - All right angles are congruent to one another.   - For any line l and a point P not on l, there exists a unique line m through P that is parallel to l.

Aristarchus (310 – 230 BCE)

  • First individual to propose a Sun-centered universe where Earth revolves around the Sun.

  • Utilized geometry and observations of lunar eclipses to estimate the relative sizes and distances of the Earth, Moon, and Sun.

  • Concluded that the Sun is significantly larger and farther from Earth.

Eratosthenes (275 – 195 BCE)

  • Successfully computed the circumference of the Earth using geometric principles and the shadow of a stick measured in two cities in Egypt.

The Geocentric Model

Concept of Geocentrism

  • Earth is positioned at the center of the universe, a belief strongly supported by Aristotle.

  • Aristotle theorized that celestial bodies (Sun, Moon, planets, fixed stars) revolved around Earth.

Supporting Observations for Geocentrism

  • Two main observations supporting the geocentric perspective include:   - The apparent daily revolution of the Sun, Moon, and stars around Earth.   - The perception that Earth is stationary for Earthbound observers (it appears solid, stable, and unmoving).

Challenges: Retrograde Motion

  • Geocentric models struggled to explain retrograde motion, which is the apparent backward motion of celestial objects as observed from Earth.

  • Retrograde motion is actually an illusion caused by the differing orbital speeds and distances of the planets relative to Earth.

Ptolemy (80 – 168 CE)

  • To address the issue of retrograde motion within a geocentric framework, Ptolemy proposed that planets travel along smaller circles known as epicycles, the centers of which move around a larger circle (the deferent) that encircles Earth.

  • This framework is referred to as the Ptolemaic epicyclic model.

Law of Parsimony (Ockham’s Razor)

  • A philosophical principle stating that "Entities should not be multiplied beyond necessity" as attributed to William of Ockham (c. 1285-1349).

  • Albert Einstein paraphrased it as "Theories should be as simple as possible, but no simpler."

  • In essence, the natural world tends to be simple, and our theoretical constructs should reflect that simplicity.

  • The Ptolemaic system was criticized for its complexity and lack of elegance due to the convoluted nature of planetary orbits.

Heliocentrism

Introduction of Heliocentric Model

  • The Heliocentric model posits that the Sun is at the center of the Solar System, a model formulated by Copernicus, a Polish mathematician and astronomer.

  • In this model, the planets orbit the Sun, while the Moon orbits Earth. The Sun and stars are considered motionless.

Characteristics of Copernicus's Model (~ 1500)

  • Superior planets (orbiting farther from the Sun than Earth):   - Mars, Jupiter, Saturn

  • Inferior planets (orbiting closer to the Sun than Earth):   - Mercury, Venus

  • Describes the positions of planets through terms such as:   - Inferior and superior conjunction   - Opposition   - Greatest elongation

Motion of Planets

  • The heliocentric model accounts for retrograde motion as a result of Earth overtaking slower-moving outer planets in their respective orbits.

  • Although not completely correct, this model provided a solid foundation for future advancements in astronomical understanding and research.

Comparisons of Geocentric and Heliocentric Models

Ptolemaic Geocentric Model Description

  • Earth is deemed the motionless center of the universe, surrounded by Sun, Moon, planets, and fixed stars, which revolve around it.

  • Planets are theorized to orbit in uniform circular patterns, utilizing the complex motion of epicycles and deferents to explain retrograde motions.

Copernicus Heliocentric Model Description

  • The Sun occupies the center of the universe while remaining static, with the stars also presumed stationary.

  • In this model, planets perform uniform circular motion modified by epicycles, with Mercury closest to the Sun followed by Venus, Earth, Mars, Jupiter, and Saturn.

  • Retrograde motion is attributed to Earth’s overtaking of slower-moving outer planets.