How to calculate pulsar's wavelength by it's diameter and mass?

In summary, the speaker is seeking help with calculating the maximum radiated wavelength of a neutron star, its pulsar wavelength when observed from a distance, and the wavelength falling upon a spaceship's photometer. They also need to calculate the wavelength the ship will recognize when changing course and flying at a right angle to the star. They provide the neutron star's mass, diameter, and surface temperature, as well as the spaceship's velocity and need for gravitational force to be neglected. References are provided for further assistance.
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Hello. I came to this forum to seek help for this question, since I cannot find it anywhere on the internet, nor even books. I have to calculate a maximum of a radiated wavelength of a neutron star. Sorry I don't know how else could I translate it from to English. All I was given is that it's mass M is 2,5 Ms (Sun masses), it's diameter R = 12km and it's surface temperature is T = 5,0*10^5 K. It's being observed from a spacefaring ship, which is traveling straight towards it, by a velocity of V = 0,5c. I also need to calculate the wavelength of the pulsar, if it's observed from a distant point, in which we can neglect it's gravitational force. Another task is to calculate it's wavelength that is falling upon the ship's photometer, and the last one is that the ship has decided to change it's course to fly to a different star, and I need to calculate the wavelength the ship will recognize in the moment of closest departure to the ship- in the moment when it'll fly at a right angle to a connecting line between the star and the ship?

Yes I'm on some astronomical/astrophysical competition, and I really have no idea where to seek help for this... Could anyone at least partially help me? Thank you
 
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FAQ: How to calculate pulsar's wavelength by it's diameter and mass?

How do you calculate a pulsar's wavelength?

To calculate a pulsar's wavelength, you can use the equation λ = c/f, where λ is the wavelength, c is the speed of light, and f is the frequency. Alternatively, you can use the formula λ = 2πr, where r is the radius of the pulsar's orbit.

2. What is the relationship between a pulsar's diameter and its wavelength?

The diameter of a pulsar does not directly affect its wavelength. However, a pulsar's diameter can be used to calculate its radius, which can then be used in the equation λ = 2πr to calculate its wavelength.

3. How does a pulsar's mass factor into the calculation of its wavelength?

The mass of a pulsar does not directly affect its wavelength. However, it can indirectly affect the wavelength through its influence on the pulsar's orbit and radius. A pulsar with a higher mass may have a larger orbit and therefore a longer wavelength.

4. Can a pulsar's wavelength change over time?

Yes, a pulsar's wavelength can change over time due to various factors such as changes in its mass or orbit. However, these changes are typically very small and difficult to detect.

5. Why is it important to calculate a pulsar's wavelength?

Calculating a pulsar's wavelength can provide valuable information about its properties and behavior. It can also help researchers understand the underlying physics of pulsars and how they evolve over time.

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