Determine the first space velocity for a low-altitude satellite of the Sun.

univerkov | July 24, 2021 | education

Task data: Ms (mass of the Sun) = 2 * 10 ^ 30 kg; Rс (radius of the Sun) = 6.96 * 10 ^ 8 m.

Reference data: G (gravitational constant) = 6.67 * 10 ^ -11 m3 / (s2 * kg).

The first space velocity for a satellite of the Sun, which moves at a low altitude from the surface of the Sun (h → 0), is determined by the formula: V = √ (G * Mс / Rс).

Let’s make the calculation: V = √ (6.67 * 10 ^ -11 * 2 * 10 ^ 30 / (6.96 * 10 ^ 8)) ≈ 437 798 m / s = 438 km / s.

Answer: According to the calculation, the first space velocity for a solar satellite is 438 km / s.

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