How many times does the speed of a satellite in orbit change if, with a 2-fold decrease in the radius of a circular orbit, its orbital period decreases by 4 times?
To find the change in the speed of the specified satellite in orbit, we use the ratio: k = Vк / Vн = (2 * Π * Rк / Тк) / (2 * Π * Rн / Тн) = Тн * Rк / (Тк * Rн).
Variable relations: Тн (initial period of circulation) = 4Тк (final period); Rн (initial radius of the orbit) = 2Rк (final radius).
Let’s make a calculation: k = Tn * Rk / (Tk * Rn) = 4Tk * Rk / (Tk * 2Rk) = 4/2 = 2 p.
Answer: The speed of movement of the indicated satellite will increase 2 times.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.