Third cosmic speed from orbital and second cosmic speed

The third cosmic velocity is the minimum velocity that must be given to a body located near the Earth’s surface so that it can overcome the gravitational attraction of the Earth and the Sun and leave the Solar System.

Links:

  1. Wikipedia.

third_cosmic_speed

Third cosmic speed of the orbiting body.

Symbol:

v_3

Latex:

\(v_{3}\)

Dimension:

velocity

orbital_speed

Orbital speed of the body around the attracting mass.

Symbol:

v

Latex:

\(v\)

Dimension:

velocity

second_cosmic_speed

Second cosmic speed of the orbiting body.

Symbol:

v_2

Latex:

\(v_{2}\)

Dimension:

velocity

law

v_3 = sqrt((sqrt(2) - 1)^2 * v^2 + v_2^2)

Latex:
\[v_{3} = \sqrt{\left(\sqrt{2} - 1\right)^{2} v^{2} + v_{2}^{2}}\]