Inclination angle between the orbital plane and the plane of the sky

In summary, the conversation discusses the calculation of inclination, defined as the angle between the orbital plane and the plane of the sky. It is noted that the inclination can be in the direct sense (0 to pi/2) or indirect sense (pi/2 to pi). The angle is given as 40 in the direct sense and the question is how to calculate it in the indirect sense. One possible solution suggested is to subtract 40 from 180.
  • #1
quasarLie
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Homework Statement



I have the inclinination i which is the angle between the orbital plane and the plane of the sky, i [0,pi/2] if it is in the direct sense ans [pi/2, pi] in the indirect, so here i have an angle i=40 in the direct sense how can i calculate the i in the indirect sense

Homework Equations

The Attempt at a Solution


i don't know maybe 180-40=140
 
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  • #2
If I am interpreting your context correctly, you're asking about orbital inclinations in the context of celestial bodies. If you defined the direct and indirect angles to be as such, then yes it seems that it is a matter of 180-40. Do give us a bit more context though, it will be helpful :)
 
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FAQ: Inclination angle between the orbital plane and the plane of the sky

1. What is inclination angle between the orbital plane and the plane of the sky?

The inclination angle between the orbital plane and the plane of the sky is the angle at which a celestial object's orbit is tilted in relation to our line of sight. It is measured in degrees and can range from 0° (a face-on view) to 90° (a edge-on view).

2. How is the inclination angle calculated?

The inclination angle is calculated using the laws of trigonometry and the geometrical properties of the celestial object's orbit. It can also be determined by observing the object's motion and measuring its position in the sky over time.

3. Why is the inclination angle important in astronomy?

The inclination angle is important because it provides crucial information about the orientation of a celestial object's orbit. It can help astronomers determine the true shape of the orbit, the orientation of the object's poles, and the potential for eclipses or transits.

4. How does the inclination angle affect the appearance of a celestial object?

The inclination angle can greatly affect the appearance of a celestial object. A high inclination angle can result in eclipses or transits, while a low inclination angle can make the object appear elongated or distorted when viewed from certain angles.

5. Can the inclination angle change over time?

Yes, the inclination angle can change over time due to various factors such as gravitational interactions with other objects, tidal forces, or the presence of a third body in the system. This can cause the orbit to precess or tilt, resulting in a change in the inclination angle.

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