What are some sources of energy that are available to heat the interiors of planets?

Solar heating, tidal heating and radioactive decay.

http://www.planetaryexploration.net/jupiter/io/tidal_heating.html

To determine potential sources of energy for heating the interiors of planets, one can refer to scientific theories and observations. Here are a few possible sources:

1. Primordial Heat: This refers to the heat left over from the formation of the planet. During the process of planetary accretion, gravitational energy is converted into heat, heating up the planet's interior. Over time, this heat may continue to contribute to the planet's overall temperature.

2. Radioactive Decay: Some elements within a planet's interior, such as uranium, thorium, and potassium, undergo radioactive decay. This process releases a significant amount of heat as a byproduct, contributing to the planet's internal heat.

3. Tidal Heating: In cases where a planet or moon has a close gravitational interaction with a larger celestial body, tidal forces can generate heat within its interior. This is commonly observed on moons orbiting gas giants, such as Jupiter's moon Io, which experiences immense tidal heating due to its elliptical orbit.

4. Impact Heating: During the formation of planets, massive impacts from asteroids or other celestial bodies can generate a considerable amount of heat. The energy from such impacts can cause substantial heating of the planet's interior, especially in its early stages of formation.

5. Core Compression: In massive planets, intense gravitational pressure from the weight of overlying material can cause the planet's core to experience compression. This compression generates heat due to the release of gravitational potential energy, contributing to the overall thermal budget of the planet.

It's important to note that the specific sources and magnitudes of energy available to heat a planet's interior can vary greatly depending on factors like its size, composition, age, and distance from a star. To determine the sources of energy for specific planets, further studies, observations, and simulations using geological and geophysical models may be necessary.