We know the solar system is 4.6 billion years old through the radiometric dating samples found on Earth, the Moon, and meteorites.
These objects formed around the Sun relatively shortly after the Sun and solar system began to form..
Remember the definition of astronomical unit: 1 au = 149,597,870,700 m .
Multiply the measurement in astronomical units by the factor of step 1.
Divide by 1000 to find the corresponding measurement in kilometers.May 4, 2023.
When taking an untracked photo of the night sky using a camera on a tripod, this rule tells you how long you can expose before the stars begin to trail.
You take the number 500 and divide by the focal length of your lens.
For example, if you have a 20-mm wide angle lens, then 500 / 20 = 25..
Astronomers estimate that the Big Bang occurred between 10 and 20 billion years ago.
They estimate the age of the Universe in two ways: (a) by looking for the oldest stars; and (b) by measuring the rate of expansion of the Universe and extrapolating back to the Big Bang..
The pixel scale is just 206 * (pixel size) / (focal length).
Assuming your 30 mm guide scope is f/4 that would be a focal length of 120mm.
Using a common guide camera such as the ASI120MM which has a pixel size of 3.8u, the pixel scale is 206 * 3.8 / 130 = 6.0 arcseconds/pixel..
Pixel scale is a measurement of how much of the sky is covered by one pixel.
Image Scale (arc-seconds) = 206 * Pixel Size (microns) / Focal Length (mm)..
What is the resolution formula? To calculate angular resolution, use the formula: θ = 1.22 * λ / d..
d = 1/p, where d is the distance to the star in parsecs (1 pc = 3.26 light-years) and p is the parallax angle in arc seconds..
The parsec (3.26 light-years) is defined as the distance for which the annual parallax is 1 arcsecond..
If you are exactly 12 years old, that's 4 380 days (12 x 365).
It would also mean that today is your birthday.
If, however, you lived on Mercury and had a birthday every 88 days then you would be nearly 50 years old (4 380 \xf7 88 = 49.77)..
besides this essential knowledge, the astronomical calculations of positions have a closer interest for us: it is the determination of the motion of the Sun which orders everyday life on Earth.
With the motion of the Moon, they are the basis of calendars..
Benefits of scientific calculators
CASIO scientific calculators make high-quality math education possible.
Teachers can focus on developing students' higher-order thinking skills.
Students are able to pursue new math ideas and acquire math thinking skills.
Students are more motivated to participate in math classes..
Focal ratio also influences the brightness of extended objects like a nebula or galaxy.
For example, a telescope with focal ratio of f/5 will show an image of four times the brightness as a telescope with focal ratio of f/10, all other things being equal.
But the image at f/5 will be only half as large..
Space telescope – Instrument in space to study astronomical objects.
Spectrometers – Used to measure spectral components of light.
Sundial – Device that tells the time of day by the apparent position of the Sun in the sky.
Telescope – Instrument that makes distant objects appear magnified..
The astronomical calculator is a bronze device that consists of a complex combination of 30 surviving bronze gears used to predict astronomical events, including eclipses, phases of the moon, positions of the planets and even dates of the Olympics..
If you have your telescope's or lens' focal length and the camera sensor's pixel pitch (size) you can calculate the pixel scale.
The seeing when it's at its best are about 2" (2 arc seconds), compare with that.
If you want the most out of it you optimize the optical for half of that, i.e. pixel scale=1" in this case..
The resulting telescope FOV is then just FOV = Eyepiece FOV/magnification.
For the Optilix 2” eyepiece, the FOV is then 60o/51 = 1.18o..
This is how you calculate magnification
Magnification depends on the ratio of the telescope's focal length to the focal length of the eyepiece.
To calculate this, divide the focal length of the telescope (ft) by the focal length of the eyepiece (fe): M = ft / fe..
The angular magnification of the telescope is m = fo / fe.
The length of the telescope barrel is (fo +fe), since fe is very nearly equal to the object distance for the eyepiece.
For our case, fo /fe = 20 and fo + fe = 50 cm.
Solving this pair of equations, we get fe = 2.4 cm and fo = 47.6 cm..
Pixel scale is a measurement of how much of the sky is covered by one pixel.
Image Scale (arc-seconds) = 206 * Pixel Size (microns) / Focal Length (mm)..
For exacting accuracy, a tool called a sextant can be used to measure the sky.
Fall and winter months bring longer nights, and with these earlier evenings, even the youngest astronomers can get stargazing..
You can observe the Solar System planets in your telescope.
They won't look as big and bright as on the pictures taken by spacecraft flying nearby.
Rather, they will look like small glowing spots.
For example, Mercury will appear as a star if you observe it with a small telescope..
Field of View Useful calculators and formulae.
Calculate the actual field of view seen through the eyepiece.
Formula: Eyepiece Field of View / ( Telescope Focal Length / Eyepiece Focal Length )
Astronomical Distance Travel Time Calculator computes the time to travel to distant parts of space at different velocities.
Special thanks to Dr.
Stephen Spicklemire
Physics &Earth-Space Science
Associate Professor of Physics at the University of Indianapolis.
Dr.
The Astronomy Calculator includes functions that are useful for studying astronomy.
Formulae are organized in different tabs to the right as follows: (M) - mass of the system . (T) - period of the orbit. (R) - separation distance between the two objects.
Calculator designed to calculate problems in science, engineering, and mathematics
A scientific calculator is an electronic calculator
Either desktop or handheld
Designed to perform calculations using basic and complex mathematical operations and functions.They have completely replaced slide rules and are used in both educational and professional settings.
