Ejemplo n.º 1
0
def pot_VCH(d, q1, q2, q3, qz, phi, ra, x, y, z, v):
    c1, c2, c3 = constants(q1, q2, q3, phi)
    rA = np.sqrt(x**2 + y**2 + z**2/qz**2)
    rT = np.sqrt(c1*x**2 + c2*y**2 + c3*x*y + z**2/q3**2)
    r = (ra + rT)*rA / (ra + rA)
    pot = v**2 * log(r**2 + d**2)	
    return pot
Ejemplo n.º 2
0
def pot_VCH(d, q1, q2, q3, qz, phi, ra, x, y, z, v):
    c1, c2, c3 = constants(q1, q2, q3, phi)
    rA = np.sqrt(x**2 + y**2 + z**2 / qz**2)
    rT = np.sqrt(c1 * x**2 + c2 * y**2 + c3 * x * y + z**2 / q3**2)
    r = (ra + rT) * rA / (ra + rA)
    pot = v**2 * log(r**2 + d**2)
    return pot
Ejemplo n.º 3
0
def pot_LMJ(r_h, q1, q2, qz, phi, x, y, z, v):
    r_h = r_h * units.kpc
    z = z * units.kpc
    x = x * units.kpc
    y = y * units.kpc
    v = v * units.km / units.s
    v = v.to(units.kpc / units.s)
    C1, C2, C3 = constants(q1, q2, qz, phi)
    phi = v**2 * np.log(C1*x**2 + C2*y**2 + C3*x*y + (z/qz)**2 + r_h**2)
    return phi
Ejemplo n.º 4
0
def pot_LMJ(r_h, q1, q2, qz, phi, x, y, z, v):
    r_h = r_h * units.kpc
    z = z * units.kpc
    x = x * units.kpc
    y = y * units.kpc
    v = v * units.km / units.s
    v = v.to(units.kpc / units.s)
    C1, C2, C3 = constants(q1, q2, qz, phi)
    phi = v**2 * np.log(C1 * x**2 + C2 * y**2 + C3 * x * y +
                        (z / qz)**2 + r_h**2)
    return phi
Ejemplo n.º 5
0
def vc_LMJ(r_h, q1, q2, qz, phi, x, y, z, v):
    r_h = r_h * units.kpc
    z = z * units.kpc
    x = x * units.kpc
    y = y * units.kpc
    v = v * units.km / units.s
    v = v.to(units.kpc / units.s)
    C1, C2, C3 = constants(q1, q2, qz, phi)
    factor = (C1*x**2 + C2*y**2 + C3*x*y + (z**2/qz**2 + r_h**2))
    r = np.sqrt(x**2 + y**2 + z**2)
    vc = v * np.sqrt(r*np.sqrt((2*C1*x + C3*y)**2 + (2*C2*y + C3*x)**2 + (2*z/qz**2)**2) / factor)
    vc = vc.to(units.km / units.s)
    return vc
Ejemplo n.º 6
0
def mass_LMJ(r_h, q1, q2, qz, phi, x, y, z, v):
    r_h = r_h * units.kpc
    z = z * units.kpc 
    x = x * units.kpc
    y = y * units.kpc
    v = v * units.km / units.s
    v = v.to(units*kpc / units.s)
    C1, C2, C3 = constants(q1, q2, qz, phi)
    r = np.sqrt(x**2 + y**2 + z**2)
    factor1 = 2*C1*x + C3*y
    factor2 = 2*C2*y + C3*x
    factor3 = 2*z/qz**2
    factor = (C1*x**2 + C2*y**2 + C3*x*y + (z**2/qz**2 + r_h**2))
    M  = v**2 * r**2 * (factor1**2 + factor2**2 + factor3**2) / (G * factor) 	
    return M			        
Ejemplo n.º 7
0
def mass_LMJ(r_h, q1, q2, qz, phi, x, y, z, v):
    r_h = r_h * units.kpc
    z = z * units.kpc
    x = x * units.kpc
    y = y * units.kpc
    v = v * units.km / units.s
    v = v.to(units * kpc / units.s)
    C1, C2, C3 = constants(q1, q2, qz, phi)
    r = np.sqrt(x**2 + y**2 + z**2)
    factor1 = 2 * C1 * x + C3 * y
    factor2 = 2 * C2 * y + C3 * x
    factor3 = 2 * z / qz**2
    factor = (C1 * x**2 + C2 * y**2 + C3 * x * y + (z**2 / qz**2 + r_h**2))
    M = v**2 * r**2 * (factor1**2 + factor2**2 + factor3**2) / (G * factor)
    return M
Ejemplo n.º 8
0
def vc_LMJ(r_h, q1, q2, qz, phi, x, y, z, v):
    r_h = r_h * units.kpc
    z = z * units.kpc
    x = x * units.kpc
    y = y * units.kpc
    v = v * units.km / units.s
    v = v.to(units.kpc / units.s)
    C1, C2, C3 = constants(q1, q2, qz, phi)
    factor = (C1 * x**2 + C2 * y**2 + C3 * x * y + (z**2 / qz**2 + r_h**2))
    r = np.sqrt(x**2 + y**2 + z**2)
    vc = v * np.sqrt(r * np.sqrt((2 * C1 * x + C3 * y)**2 +
                                 (2 * C2 * y + C3 * x)**2 +
                                 (2 * z / qz**2)**2) / factor)
    vc = vc.to(units.km / units.s)
    return vc
Ejemplo n.º 9
0
def a_LMJ(r_h, q1, q2, qz, phi, x, y, z, v):
    r_h = r_h * units.kpc
    z = z * units.kpc
    x = x * units.kpc
    y = y * units.kpc
    v = v * units.km / units.s
    v = v.to(units*kpc / units.s)
    C1, C2, C3 = constants(q1, q2, qz, phi)
    factor = (C1*x**2 + C2*y**2 + C3*x*y + (z**2/qz**2 + r_h**2))
    ax = -v**2 * (2*C1*x + C3*y) / factor
    ay = -v**2 * (2*C2*y + C3*x) / factor
    az = -v**2 * (2*z / qz**2) / factor
    #ax = ax.to(units.km / units.s**2)
    #ay = ay.to(units.km / units.s**2)
    #az = az.to(units.km / units.s**2)
    return ax, ay, az
Ejemplo n.º 10
0
def a_LMJ(r_h, q1, q2, qz, phi, x, y, z, v):
    r_h = r_h * units.kpc
    z = z * units.kpc
    x = x * units.kpc
    y = y * units.kpc
    v = v * units.km / units.s
    v = v.to(units * kpc / units.s)
    C1, C2, C3 = constants(q1, q2, qz, phi)
    factor = (C1 * x**2 + C2 * y**2 + C3 * x * y + (z**2 / qz**2 + r_h**2))
    ax = -v**2 * (2 * C1 * x + C3 * y) / factor
    ay = -v**2 * (2 * C2 * y + C3 * x) / factor
    az = -v**2 * (2 * z / qz**2) / factor
    #ax = ax.to(units.km / units.s**2)
    #ay = ay.to(units.km / units.s**2)
    #az = az.to(units.km / units.s**2)
    return ax, ay, az