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Question: Helios – B spacecraft had a speed of 71 km/s when it was 4.3 × 10<sup>7</sup> km from the sun. Its o...

Helios – B spacecraft had a speed of 71 km/s when it was 4.3 × 107 km from the sun. Its orbit is

A

Circular

B

Helical

C

Elliptical

D

Parabolic.

Answer

Elliptical

Explanation

Solution

v0 = GMR=6.67×1011×2×10304.3×107×103\sqrt { \frac { \mathrm { GM } } { \mathrm { R } } } = \sqrt { \frac { 6.67 \times 10 ^ { - 11 } \times 2 \times 10 ^ { 30 } } { 4.3 \times 10 ^ { 7 } \times 10 ^ { 3 } } } = 56 km/s since v > v0, but < ve, therefore, orbit is elliptical.