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2. look in the web for alternate names for these points, and how they a…

Question

  1. look in the web for alternate names for these points, and how they are called in other types of orbits:

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$$\begin{tabular}{|l|l|l|} \\hline type of orbit & name for apoapsis & name for periapsis \\\\ \\hline orbit around the sun & & \\\\ \\hline orbit around the earth & & \\\\ \\hline other interesting orbit? & & \\\\ \\hline \\end{tabular}$$
  1. how does the velocity change when the planet is on periapsis versus apoapsis?

Explanation:

Identify specific orbital terminology for different central bodies

  • Orbit around the Sun: Apohelion (Apoapsis) and Perihelion (Periapsis).
  • Orbit around the Earth: Apogee (Apoapsis) and Perigee (Periapsis).
  • Orbit around the Moon (other interesting orbit): Apolune / Aposelene (Apoapsis) and Perilune / Periselene (Periapsis).

Analyze orbital velocity changes at periapsis versus apoapsis

  • Kepler's Second Law (conservation of angular momentum): \(v_{\text{periapsis}} \cdot r_{\text{periapsis}} = v_{\text{apoapsis}} \cdot r_{\text{apoapsis}}\).
  • Since \(r_{\text{periapsis}} < r_{\text{apoapsis}}\), the velocity is at its maximum at periapsis and at its minimum at apoapsis.

Answer:

Question 2

Type of OrbitName for ApoapsisName for Periapsis
Orbit around the EarthApogeePerigee
Orbit around the MoonApolune / AposelenePerilune / Periselene

Question 3

The velocity is at its maximum at periapsis (closest point to the central body) and at its minimum at apoapsis (farthest point from the central body).