My question is specifically WHY CAN WE NOT USE Radar to measure the distance to the Sun? What is the reason for that? Sorry if this is a lame question, I'm not an expert on these things and just occurred to me why not use radar to measure the distance to the Sun directly rather than go through all the complications of doing it indirectly via Venus and then using trigonometry to work it out. What is the reason for that?
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1It's a perfect good question. After all we do measure the distance to the other planets with radar. – dmckee --- ex-moderator kitten May 27 '17 at 17:31
3 Answers
The strength of the radar signal falls rapidly with distance so for objects within the Solar System we are dealing with very faint reflected signals. That isn't a problem with objects like Venus because with suitable signal processing we can extract the radar reflection from the background noise. The problem with the Sun is that it's a (very) strong emitter of radio waves and this black body background completely swamps the radar reflection.

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3It's much worse than that. There would be no problem with pinging the Sun were it merely a black body radiator in the radio wavelengths. The problem is that Sun deviates markedly from black body radiation in those wavelengths. For long wavelengths, this is about two orders of magnitude greater than that of a blackbody when the Sun is quiet, and six orders of magnitude when the Sun is active. For 10.7 cm radiation (the bellwether), the Sun appears to have an effective blackbody temperature in the tens of thousands of kelvins. – David Hammen May 27 '17 at 12:37
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Interesting. However, I'm wondering whether it is also because many planets have a definite scattering interface - a hard surface, whereas reflexions from the Sun's atmosphere are distributed over a wide distance because there is no surface. The distributed reflexion could easily knock the return down 60dB to 80dB or more owing to destructive interference (unless you have a grating resonance, distributed reflexions are really small for this reason). You could partly overcome the problem you speak of with a very narrowband radar and smart signal processing, hence my thoughts. – Selene Routley May 27 '17 at 12:38
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@WetSavannaAnimalakaRodVance - When the two STEREO spacecraft went behind the sun, they had to plan very carefully when to turn them back on and try to talk to them. This is because the sun is so radio loud they were worried about spacecraft actually locking onto the sun and then frying their transponders. The sun is much "louder" than most of our spacecraft, so we intentionally avoid talking to them whenever they are within a ~5 degree cone of the Earth-sun line if possible. I am not sure if this affects the reflectivity or not, but the sun is very loud. – honeste_vivere Jun 04 '17 at 17:12
My question is specifically WHY CAN WE NOT USE Radar to measure the distance to the Sun?
By way of analogy, the path of a solar eclipse will cross the United States this summer. People are already being warned not to look directly at the Sun during the eclipse without protection. The reason of course is that looking at a partially eclipsed Sun may cause permanent damage to ones eyes. Most of that damage results from from the Sun's infrared rather than visible output. Just because one cannot see that infrared radiation does not mean it won't hurt you.
The same applies to radio antenna. While radio antenna are typically designed to be insensitive to visible and infrared, an unprotected radio antenna, like an unprotected eye, will suffer irreparable damage when pointed at the Sun.
What about a radio antenna protected by a radome? Those can be and are pointed directly at the Sun. What they see is a large body that radiates at an effective temperature well above the 5778 K of the surface of the Sun. The Sun's chromosphere can have an effective blackbody temperature in the microwave and radio frequencies in the tens of thousands of kelvins, and the solar corona, in the millions of kelvins.
This is particularly the case when the Sun is active, a one to four year long period during the Sun's eleven year solar cycle. Solar scientists aim radome-protected radio antenna directly at the Sun because the deviations from blackbody radiation at 10.7 centimeters are highly correlated with deviations at short wavelengths. Scientists use the Sun's radiation at 10.7 cm as a bellwether of the Sun's activity.
Suppose someone decides to ping the Sun with a radio antenna inside a radome while the Sun is quiet. Even during quiet periods, the Sun still outputs radiation in the microwave and radio frequencies with an effective temperature of nearly 10000 kelvins. The large output from the Sun in the microwave and radio frequencies will overwhelm that little ping, even when the Sun is at its quietest.
Once again by way of analogy, think of pointing a flashlight directly at a street light. Flashlights work great when pointed at a somewhat nearby dark patch of ground. They don't do much at all when pointed at a more remote source of light.

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This answer makes a great deal of sense to me - in particular, I can see how it answers the comment / implicit question I made below John Rennie's answer. You're saying that the Sun is so luminous over such a broad band that the power you'd need to send to it would be impossibly big, even if narrowband, to achieve a decent SNR in the return. So it would be good to quantify this answer if you can think of an easy way to do it. See also the J. Photochemistry and Photobiology paper I cite in my answer here; my understanding is that usually ... – Selene Routley Jun 05 '17 at 02:42
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2... the IR from the Sun is not a problem for the eye even if you look directly at it (as discussed in my answer): the UV is the far bigger danger. The difference in an eclipse is that the pupil responds to the background light levels and widens to about 7mm diameter, thus letting in 50x more light that it usually does and so, at these times, thermal damage from IR can become a problem when the eclipse suddenly reaches the "diamond ring" phase. The UV from the corona, although small, is also a big problem during the eclipse. – Selene Routley Jun 05 '17 at 02:47
Radar HAS been used to measure the distance to the sun. Multiple times in 1959. You need a powerful radar and good receivers. The corona reflects radar. They sent a series of "dots and dashes" and that was the signal that was reflected back. https://mctoon27.files.wordpress.com/2020/01/radar-echoes-from-the-sun.pdf
https://timesmachine.nytimes.com/timesmachine/1960/02/07/119095985.html?pageNumber=166

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Of course the trouble with this is that the distance to the corona is not the distance to the Sun's center of mass, but for solar system dynamics what you need to know is the latter. – John Doty Jan 30 '24 at 20:17
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well, if you can determine the distance to the corona, and the angular size of the sun at that distance, can't you, assuming a sphere, figure out where the center of mass is? – Marco Chacon Feb 01 '24 at 02:41
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A sphere is a lousy assumption for the shape of the corona. It varies with solar activity. The interaction of radar with it is not simple reflection. – John Doty Feb 01 '24 at 13:04
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I meant the shape of the sun--the reflection gives us the distance--but I think the sun is generally, you know, round? – Marco Chacon Feb 01 '24 at 16:42
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The corona isn't round: go have a look at it during an eclipse. And reflection from plasma is tricky: ionosonde data gives you the "virtual height" of the ionosphere, not the true height. – John Doty Feb 01 '24 at 16:46
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sure--so lets say the real distance is a half million miles further? The sun itself is still pretty round, right? I can find the center of that. – Marco Chacon Feb 01 '24 at 19:57
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How much is the correction? Depends on the plasma density in the outer corona. Radar can measure the distance to Venus to much greater accuracy: it has a nice hard stable surface, and the plasma corrections are much smaller. – John Doty Feb 01 '24 at 20:53
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I think I can get the angular size of the sun and the measure of distance to the corona and make a decent stab at getting a close measure. After all the early transit of Venus measures were also very rough and still got awfully close to 92-93 million miles. I don't think this is as tough as you're making it out to be. – Marco Chacon Feb 02 '24 at 15:04
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The question was "why not use radar to measure the distance to the Sun directly rather than go through all the complications of doing it indirectly via Venus and then using trigonometry to work it out". The answer is, yes, it was done, but the (later) Venus radar measurements are far more accurate. – John Doty Feb 02 '24 at 15:08