How Did Gauss Contribute To The Field Of Conic Equation
PHYSICS
ASTRONOMY
Johann Carl Fredrick Gauss being a mathematician did not stop him by entering to the field of physics. Gauss used his findings to develop the field of physics as it plays a vital role in Science.
Gauss's most important contributions to astronomy was using conic equations to track the dwarf planet Ceres. Gauss located the position of the Dwarf planet Ceres. Gauss showed that its orbit was almost circular, like a planet, and he calculated how far the object was from the sun.
An Italian astronomer Joseph Piazzi, in January 1, 1801, discovered a planetoid, working from an observatory in Palermo, Italy. This object was named as Ceres moved in the constellation Taurus. However, Astronomers were only able to observe the planet for …show more content…
Gauss initially used only 3 of Piazzi's 22 observations, those from January 1, January 21, and February 11. The observations showed an apparent retrograde motion from January 1 to January 11, around which time Ceres reversed to a forward motion. Gauss chose one of the unknown distances, the one corresponding to the intermediate position of the 3 observations, as the target of his efforts. After obtaining that important value, he determined the distances of the first and third observations, and from those the corresponding spatial positions of Ceres. From the spatial positions Gauss calculated a first approximation of the elements of the orbit. Using this approximate orbital calculation, he could then revise the initial calculation of the distances to obtain a more precise orbit, and so on, until all the values in the calculation became coherent with each other and with the three selected …show more content…
ELECTROSTATICS
The Gauss law in electrostatics describes that “the total normal electric flux (Ф) over a closed surface in an electric field (E) is equal to 1/ε0 times the total charge (Q) enclosed by that surface.”
Mathematically it may be expressed as, ϕ= Q/ε
The electric flux through an area can be defined as the electric field multiplied by the area of the surface which is plane perpendicular to the field.
The Gauss’s describes the amount of enclosed charge by mapping the field on a surface outside the charge distribution. However, in order to comply with this law, there should be a higher degree of symmetry of the considered Gaussian surface.
Where, E - Electric field Q - Enclosed charged ε – Permittivity in free space A – Area of the surface
The differential form of the Gauss law associated with the electrostatics can be expressed as follows,
The integral form of the Gauss law in electrostatics can be expressed as, the area integral of the electric field over any closed surface being equal to the net charge enclosed in the surface divided by the permittivity of space.
∮ E.dA = Q/ε
Flux,
ASTRONOMY
Johann Carl Fredrick Gauss being a mathematician did not stop him by entering to the field of physics. Gauss used his findings to develop the field of physics as it plays a vital role in Science.
Gauss's most important contributions to astronomy was using conic equations to track the dwarf planet Ceres. Gauss located the position of the Dwarf planet Ceres. Gauss showed that its orbit was almost circular, like a planet, and he calculated how far the object was from the sun.
An Italian astronomer Joseph Piazzi, in January 1, 1801, discovered a planetoid, working from an observatory in Palermo, Italy. This object was named as Ceres moved in the constellation Taurus. However, Astronomers were only able to observe the planet for …show more content…
Gauss initially used only 3 of Piazzi's 22 observations, those from January 1, January 21, and February 11. The observations showed an apparent retrograde motion from January 1 to January 11, around which time Ceres reversed to a forward motion. Gauss chose one of the unknown distances, the one corresponding to the intermediate position of the 3 observations, as the target of his efforts. After obtaining that important value, he determined the distances of the first and third observations, and from those the corresponding spatial positions of Ceres. From the spatial positions Gauss calculated a first approximation of the elements of the orbit. Using this approximate orbital calculation, he could then revise the initial calculation of the distances to obtain a more precise orbit, and so on, until all the values in the calculation became coherent with each other and with the three selected …show more content…
ELECTROSTATICS
The Gauss law in electrostatics describes that “the total normal electric flux (Ф) over a closed surface in an electric field (E) is equal to 1/ε0 times the total charge (Q) enclosed by that surface.”
Mathematically it may be expressed as, ϕ= Q/ε
The electric flux through an area can be defined as the electric field multiplied by the area of the surface which is plane perpendicular to the field.
The Gauss’s describes the amount of enclosed charge by mapping the field on a surface outside the charge distribution. However, in order to comply with this law, there should be a higher degree of symmetry of the considered Gaussian surface.
Where, E - Electric field Q - Enclosed charged ε – Permittivity in free space A – Area of the surface
The differential form of the Gauss law associated with the electrostatics can be expressed as follows,
The integral form of the Gauss law in electrostatics can be expressed as, the area integral of the electric field over any closed surface being equal to the net charge enclosed in the surface divided by the permittivity of space.
∮ E.dA = Q/ε
Flux,