Introduction:
When a satellite orbits around the Earth, it possesses both kinetic energy and gravitational potential energy. The total energy of the satellite can be determined by considering these two energy forms.

Gravitational Potential Energy:
The gravitational potential energy of an object depends on its mass, the gravitational field strength, and the distance from the center of the Earth. In this case, the satellite's height from the Earth's surface is given as h. The gravitational potential energy can be calculated using the formula:

PE = mgh

where m is the mass of the satellite and g is the acceleration due to gravity at the Earth's surface.

Kinetic Energy:
The kinetic energy of the satellite is determined by its mass and velocity. As the satellite is in orbit, it has a constant velocity. The kinetic energy can be calculated using the formula:

KE = (1/2)mv^2

where m is the mass of the satellite and v is its velocity.

Total Energy:
The total energy of the satellite is the sum of its kinetic energy and gravitational potential energy.

E = KE + PE

Substituting the formulas for kinetic energy and gravitational potential energy, we get:

E = (1/2)mv^2 + mgh

Acceleration due to gravity:
The value of acceleration due to gravity at the Earth's surface is denoted by g. It is approximately 9.8 m/s^2. This value remains constant for objects near the Earth's surface.

Conclusion:
In conclusion, the total energy of a satellite orbiting around the Earth, at a height h from its surface, can be expressed as E = (1/2)mv^2 + mgh, where g is the value of acceleration due to gravity at the Earth's surface. This equation takes into account both the gravitational potential energy and the kinetic energy of the satellite.