A remote-sensing payload operates in the infrared part of the spectrum (lambda = 1 micrometer). If it has an aperture diameter of 1 m, what would its resolution be (in meters) while operating in a geosynchronous orbit (35,786 km)? What formula would I use to find this?
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- Cas A SNR North Lobe Chandra ACIS image (M. Stage) region of spectrum-> 104 km/s (be sure to convert your answer to kilometers!) (Enter a positive value--if you get a negative answer ignore the minus sign.) 1000 100 Combine counts / Ang./ (0.964324 sq. arcsec) 10 0.1 Cas A Ms Spectrum from 4362.5 4458.5, region size 0.964324 sq. arcsec Mapangh 5 Silicon line 10 20 Wavelength (Angstroms) The speed of the material ejected in a supernova can be measured by using the Doppler shift of the X-ray emission lines in its spectrum. The images above show real X ray data of the Cassiopeia A supernova remnant and a spectrum extracted from that data--you can see several emission lines including the silicon line near 6.6 angstroms (0.66 nm). If the emission line created by silicon normally has a wavelength of 0.6648 nm (nanometers), but is measured in the spectrum to have a wavelength of 0.6611 nm, how fast is the gas moving?The HST cost about $1.7 billion for construction and $300 million for its shuttle launch, and it costs $250 million per year to operate. If the telescope lasts for 20 years, what is the total cost per year? Per day? If the telescope can be used just 30% of the time for actual observations, what is the cost per hour and per minute for the astronomer’s observing time on this instrument? What is the cost per person in the United States? Was your investment in the Hubble Space telescope worth it?Theoretically (that is, if seeing were not an issue), the resolution of a telescope is inversely proportional to its diameter. How much better is the resolution of the ALMA when operating at its longest baseline than the resolution of the Arecibo telescope?
- (a) The colour temperature can be determined from two magnitudes corresponding to two different wavelengths. Show that: 7000 K Te (B-V)+0.47 The wavelengths ofthe B and V bands are 440 nm and 548 nm, respectively, and we assume that B=V for stars of the spectral class A0, the colour temperature of which is about 15000 K°. (Take constant value - 0.73 and e-2.718).For a human eye with a pupil diameter (aperture diameter D) of 0.005 meters, and a focal length of 0.022 meters, there will be a resolution limit due to diffraction at 0.6 microns (10^-6 meters) wavelength. If we space light-sensitive cells on the retina at this spacing, how many retina cells per meter (of retina) are there? cells/meter. Now suppose there are giants which are exactly twice the size of humans in each dimension. So giant eyes have pupils of 0.01 meters, and a focal length of 0.044 meters. How many retina cells per meter should the giants have? cells/meterThere are several spectral features that can be used to characterise galax- ies, including the Hydrogen-a emission at 656.3 nm and the Hydrogen- emission at 486.8 nm. For the Hydrogen-a emission, the spectrograph on the FET just gives sufficient resolution to resolve the emission line, which has a width of 100 km s¹. Calculate the ruling density necessary to observe the Hydrogen- ß emission line at the same resolution, if the observations are taken in first order and in 1-arcsecond seeing.
- Cas A SNR North Lobe Chandra ACIS image (M. Stage) region of spectrum-> 10* km/s (be sure to convert your answer to kilometers!) (Enter a positive value--if you get a negative answer ignore the minus sign.) 1000 100 Combine counts / Ang./ (0.964324 sq. arcsec) 10 1 0.1 Cas A Ms Spectrum from 4362.5 4458.5, region size 0.964324 sq. arcsec Silicon line werden der 5 10 20 Wavelength (Angstroms) The speed of the material ejected in a supernova can be measured by using the Doppler shift of the X-ray emission lines in its spectrum. The images above show real X ray data of the Cassiopeia A supernova remnant and a spectrum extracted from that data--you can see several emission lines including the silicon line near 6.6 angstroms (0.66 nm). If the emission line created by silicon normally has a wavelength of 0.6648 nm (nanometers), but is measured in the spectrum to have a wavelength of 0.6599 nm, how fast is the gas moving?(a) What resolution do you get if you have a maximum path length of 50 cm? How does this resolution relate to the typical Doppler linewidth (FWHM) of Ozone (O3) at λ = 350nm, λ = 15μm, and ν = 250GHz? (Provide a short statement.) Assume T = 300 K.Use the wavenumber domain! (b) How does the resolution change, if you make both mirrors moving with the same displacement length? Is there a difference if the mirrors move in the different way or in the same way away from the beam splitter (M1 away from BS vs. M2 towards BS or M1 away from from BS and vs M2 away from BS)?What diameter telescope is needed to resolve the separation between an Earth-like planet and its star at 550 nm if the linear separation between them is 1 AU and the star system is 4 pc from Earth? (Give your answer in m.) m