विशिष्ट कक्षीय ऊर्जा कैलकुलेटर
कक्षा की विशिष्ट ऊर्जा की गणना करें।
m
kg
Specific Orbital Energy
-29,432,232 J/kg
Specific Orbital Energy vs Semi-Major Axis
सूत्र
## Specific Orbital Energy **epsilon = -G M / (2a)** - Negative energy = bound (elliptical) orbit - Zero = parabolic escape - Positive = hyperbolic trajectory This quantity is constant along the entire Keplerian orbit.
हल किया गया उदाहरण
ISS orbit with semi-major axis a = 6 771 km around Earth.
- 01epsilon = -G M / (2a)
- 02G M = 3.986e14
- 032a = 1.354e7
- 04epsilon = -3.986e14 / 1.354e7 ≈ -29.4 MJ/kg
अक्सर पूछे जाने वाले प्रश्न
Why is bound orbit energy negative?
The gravitational potential energy (negative) exceeds the kinetic energy, so the total is negative and the body cannot escape.
How does energy relate to orbit shape?
Energy depends only on the semi-major axis, not eccentricity. A circle and an elongated ellipse with the same a have the same energy.
What happens at exactly zero energy?
The orbit is parabolic, corresponding to escape velocity at every point.