The perihelion and aphelion are the points on the orbit closest to and farthest from the sun, respectively (Figure 8). The distance from the sun at the perihelion is denoted r_per and the speed at this point is denoted v_per. Similarly, we write r_ap and v_ap for the distance and speed at the aphelion. The semimajor axis is denoted a.

Use the result of Exercise 13 to prove the formulas

Data From Exercise 13

The perihelion and aphelion are the points on the orbit closest to and farthest from the sun, respectively (Figure 8). The distance from the sun at the perihelion is denoted r_per and the speed at this point is denoted v_per. Similarly, we write r_ap and v_ap for the distance and speed at the aphelion. The semimajor axis is denoted a.

Transcribed Image Text:

Aphelion Vap F2 r y F Vper a Semimajor axis X Perihelion