Earth has an orbital radius of 1.5 x 108km, Mars has an orbital radius of 2.5 x 108km.
What is the maximum possible distance between the two planets?

To find the maximum possible distance between Earth and Mars, we need to consider their respective orbital radii around the Sun. The maximum possible distance between the two planets occurs when they are on opposite sides of the Sun relative to each other.

Given:
- The orbital radius of Earth, \( R_E = 1.5 \times 10^8 \) km
- The orbital radius of Mars, \( R_M = 2.5 \times 10^8 \) km

When Earth and Mars are on opposite sides of the Sun, the distance between them is the sum of their orbital radii.

\[
\text{Maximum distance} = R_E + R_M = 1.5 \times 10^8 \, \text{km} + 2.5 \times 10^8 \, \text{km} = 4.0 \times 10^8 \, \text{km}
\]

Therefore, the maximum possible distance between Earth and Mars is \( 4.0 \times 10^8 \) km.

Would you like more details or have any questions?

Here are some related questions to consider:
1. What is the minimum possible distance between Earth and Mars?
2. How does the elliptical nature of planetary orbits affect the calculation of maximum distance?
3. What are the synodic and sidereal periods of Mars?
4. How does the gravitational influence of other planets affect the orbits of Earth and Mars?
5. What is the average distance between Earth and Mars?
6. How long does it take for a spacecraft to travel from Earth to Mars?
7. What are the differences in the atmospheric conditions of Earth and Mars?
8. How does the axial tilt of Mars compare to that of Earth?

**Tip:** When solving problems involving distances in space, always consider the relative positions of the objects in their orbits, as this can significantly impact the calculations.

Learn how to calculate the maximum possible distance between Earth and Mars using their orbital radii. Understand the geometric principles involved and explore the spatial relationship between planets in our solar system. Suitable for students in Grades 7-9.

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