In order to conveniently compare the distances from the various planets, astronomers devised a measure called the "astronomical unit". The Earth is one AU from the Sun.
In order to conveniently compare the sizes of other stars to our Sun, astronomers use a "solar mass" as the mass of the Sun. and a "solar radius" as the radius of our Sun. This helps to make the comparisons more obvious to non-astronomers.
The Schwarzchild radius of a 2 solar mass black hole would be about 5.9 km.
Answer is 1
1 solar mass black hole (smallest) 1 solar mass white dwarf 1 solar mass star 1.5 solar mass neutron star (largest)
In our solar system, Jupiter is the planet with the largest radius of 71,492 km It has a mass of 1.8986×1027 kg
The radius of the event horizon of a black hole can be approximated by its Schwarzschild radius which is given by the formula r=2GM/(c^2) where G is Newton's gravitational constant, M is the object's mass, and c is the speed of light. Standard units for mass and speed are kilograms and meters per second respectively, yielding a radius in meters. For a 7 solar mass black hole the Scwarzschild radius would be about 20.67 kilometers. So the event horizon would be about 40.34 kilometers across.
This is known as the Schwarzschild radius. It is approximately 2.95 km per solar mass.
The Schwarzschild radius is directly proportional to the mass of the black hole. It is about 2.95 km for every solar mass.
There is no theoretical limit to the MASS of a black hole. The largest known black holes have a mass in excess of a billion solar masses... so far. In the distant future, you can expect them to continue growing.The DIAMETER or the RADIUS of a black hole is directly proportional to the black hole's mass; the radius would be about 3.0 kilometers for every solar mass. The diameter, of course, is twice as much. Thus, a black hole of 10 billion solar masses would have a radius of 30 billion kilometers... about 200 AU.
The formula for the Schwarzchild radius of a black hole is given by Rs = (M/Mo) x 3km. Here Mo means the mass of the Sun. For Earth, M/Mo = 0.000 003, that is, Earth has 0.000 003 x Mo. Thus Earth's Schwarzchild radius is about 1 cm. That means that if a giant squeezed Earth into a diameter less than 2cm, it would be a black hole.
Jupiter is far larger than the other two. White dwarfs can be treated as Fermi gasses, and have the interesting property that as their mass increases their radius decreases. So the smallest is actually the 1.2 solar mass white dwarf.
Once you know their distances, you can determine basic properties of the planets such as mass, size, you can determine its linear diameter.
The event horizon of a 100-solar-mass black hole is about 295 kilometers in radius. It represents the point of no return beyond which nothing, not even light, can escape the gravitational pull of the black hole.