Math Problem Statement

Consider a satellite moving in an elliptic orbit about a focus under attraction The semi-major axis and the eccentricity of the orbit are 30000 km and 0.6, respectively. The radial velocity of the satellite at the true anomaly of 60° is (where r is the radius, and µ = 398601 km³/s²).

Solution

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Math Problem Analysis

Mathematical Concepts

Elliptical orbits
Radial velocity
Gravitational parameter

Formulas

Distance from focus formula
Radial velocity formula

Theorems

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Suitable Grade Level

Undergraduate