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  2. Eccentricity (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Eccentricity_(mathematics)

    When the conic section is given in the general quadratic form + + + + + =, the following formula gives the eccentricity e if the conic section is not a parabola (which has eccentricity equal to 1), not a degenerate hyperbola or degenerate ellipse, and not an imaginary ellipse: [2]

  3. Hyperbola - Wikipedia

    en.wikipedia.org/wiki/Hyperbola

    Given the above general parametrization of the hyperbola in Cartesian coordinates, the eccentricity can be found using the formula in Conic section#Eccentricity in terms of coefficients. The center ( x c , y c ) {\displaystyle (x_{c},y_{c})} of the hyperbola may be determined from the formulae

  4. Conic section - Wikipedia

    en.wikipedia.org/wiki/Conic_section

    the eccentricity can be written as a function of the coefficients of the quadratic equation. [18] If 4AC = B 2 the conic is a parabola and its eccentricity equals 1 (provided it is non-degenerate). Otherwise, assuming the equation represents either a non-degenerate hyperbola or ellipse, the eccentricity is given by

  5. Hyperbolic trajectory - Wikipedia

    en.wikipedia.org/wiki/Hyperbolic_trajectory

    With eccentricity just over 1 the hyperbola is a sharp "v" shape. At e = 2 {\displaystyle e={\sqrt {2}}} the asymptotes are at right angles. With e > 2 {\displaystyle e>2} the asymptotes are more than 120° apart, and the periapsis distance is greater than the semi major axis.

  6. Semi-major and semi-minor axes - Wikipedia

    en.wikipedia.org/wiki/Semi-major_and_semi-minor_axes

    (Given the lunar orbit's eccentricity e = 0.0549, its semi-minor axis is 383,800 km. Thus the Moon's orbit is almost circular.) Thus the Moon's orbit is almost circular.) The barycentric lunar orbit, on the other hand, has a semi-major axis of 379,730 km, the Earth's counter-orbit taking up the difference, 4,670 km.

  7. NFL wild card playoff predictions: Who will win every matchup ...

    www.aol.com/nfl-wild-card-playoff-predictions...

    The Eagles have a proven formula — they have a potent rushing attack and the No. 1 total defense in the NFL. They are the most complete team in the NFC. These two teams met Week 1 in Brazil.

  8. Orbital eccentricity - Wikipedia

    en.wikipedia.org/wiki/Orbital_eccentricity

    The mean eccentricity of an object is the average eccentricity as a result of perturbations over a given time period. Neptune currently has an instant (current epoch ) eccentricity of 0.011 3 , [ 11 ] but from 1800 to 2050 has a mean eccentricity of 0.008 59 .

  9. Hornets apologize after pretending to give child PS5 and ...

    www.aol.com/sports/hornets-apologize-pretending...

    A day after receiving criticism for a skit in which a child was "given" a PlayStation 5 then had it taken away, the Hornets apologized and announced in a statement they were making things right.