The orbital speed of a weightless satellite can be calculated using the formula v = √(GM/r), where v is the orbital speed, G is the gravitational constant, M is the mass of the central body, and r is the distance between the satellite and the central body.
The period of a weightless satellite can be calculated using the formula T = 2π√(r³/GM), where T is the orbital period, r is the distance between the satellite and the central body, G is the gravitational constant, and M is the mass of the central body.
The mass of the central body has a direct effect on the orbital speed and period of a weightless satellite. A larger mass will result in a stronger gravitational pull, increasing the orbital speed and decreasing the orbital period. Conversely, a smaller mass will result in a weaker gravitational pull, decreasing the orbital speed and increasing the orbital period.
Yes, the orbital speed and period of a weightless satellite can change over time due to various factors such as external forces, atmospheric drag, and gravitational influences from other celestial bodies. However, in a perfectly circular orbit, the orbital speed and period will remain constant.
The speed of a weightless satellite is directly proportional to the square root of the distance from the central body, while the period is directly proportional to the cube root of the distance from the central body. This means that as the distance increases, the orbital speed decreases, and the orbital period increases.