Skip to content
Permalink
master
Switch branches/tags

Name already in use

A tag already exists with the provided branch name. Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. Are you sure you want to create this branch?
Go to file
 
 
Cannot retrieve contributors at this time
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Initial Value Problems - Project\n",
"\n",
"![Initial condition of firework with FBD and sum of momentum](../images/firework.png)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We are going to end this module with a __bang__ by looking at the flight path of a firework. Shown above is the initial condition of a firework, the _Freedom Flyer_ in (a), its final height where it detonates in (b), the applied forces in the __Free Body Diagram (FBD)__ in (c), and the __momentum__ of the firework $m\\mathbf{v}$ and the propellent $dm \\mathbf{u}$ in (d). \n",
"\n",
"The resulting equation of motion is that the acceleration is proportional to the speed of the propellent and the mass rate change $\\frac{dm}{dt}$ as such\n",
"\n",
"$$\\begin{equation}\n",
"m\\frac{dv}{dt} = u\\frac{dm}{dt} -mg - cv^2.~~~~~~~~(1)\n",
"\\end{equation}$$\n",
"\n",
"If we assume that the acceleration and the propellent momentum are much greater than the forces of gravity and drag, then the equation is simplified to the conservation of momentum. A further simplification is that the speed of the propellant is constant, $u=constant$, then the equation can be integrated to obtain an analytical rocket equation solution of [Tsiolkovsky](https://www.math24.net/rocket-motion/) [1,2], \n",
"\n",
"$$\\begin{equation}\n",
"m\\frac{dv}{dt} = u\\frac{dm}{dt}~~~~~(2.a)\n",
"\\end{equation}$$\n",
"\n",
"$$\\begin{equation}\n",
"\\frac{m_{f}}{m_{0}}=e^{-\\Delta v / u},~~~~~(2.b) \n",
"\\end{equation}$$\n",
"\n",
"where $m_f$ and $m_0$ are the mass at beginning and end of flight, $u$ is the speed of the propellent, and $\\Delta v=v_{final}-v_{initial}$ is the change in speed of the rocket from beginning to end of flight. Equation 2.b only relates the final velocity to the change in mass and propellent speed. When you integrate Eqn 2.a, you will have to compare the velocity as a function of mass loss. \n",
"\n",
"Your first objective is to integrate a numerical model that converges to equation (2.b), the Tsiolkovsky equation. Next, you will add drag and gravity and compare the results _between equations (1) and (2)_. Finally, you will vary the mass change rate to achieve the desired detonation height. \n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"1. Create a `simplerocket` function that returns the velocity, $v$, the acceleration, $a$, and the mass rate change $\\frac{dm}{dt}$, as a function of the $state = [position,~velocity,~mass] = [y,~v,~m]$ using eqn (2.a). Where the mass rate change $\\frac{dm}{dt}$ and the propellent speed $u$ are constants. The average velocity of gun powder propellent used in firework rockets is $u=250$ m/s [3,4]. \n",
"\n",
"$\\frac{d~state}{dt} = f(state)$\n",
"\n",
"$\\left[\\begin{array}{c} v\\\\a\\\\ \\frac{dm}{dt} \\end{array}\\right] = \\left[\\begin{array}{c} v\\\\ \\frac{u}{m}\\frac{dm}{dt} \\\\ \\frac{dm}{dt} \\end{array}\\right]$\n",
"\n",
"Use [two integration methods](../notebooks/03_Get_Oscillations.ipynb) to integrate the `simplerocket` function, one explicit method and one implicit method. Demonstrate that the solutions converge to equation (2.b) the Tsiolkovsky equation. Use an initial state of y=0 m, v=0 m/s, and m=0.25 kg. \n",
"\n",
"Integrate the function until mass, $m_{f}=0.05~kg$, using a mass rate change of $\\frac{dm}{dt}=0.05$ kg/s. \n",
"\n",
"_Hint: your integrated solution will have a current mass that you can use to create $\\frac{m_{f}}{m_{0}}$ by dividing state[2]/(initial mass), then your plot of velocity(t) vs mass(t)/mass(0) should match Tsiolkovsky's_"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"plt.rcParams.update({'font.size': 22})\n",
"plt.rcParams['lines.linewidth'] = 3"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {},
"outputs": [],
"source": [
"def heun_step(state,rhs,dt,etol=0.000001,maxiters = 100):\n",
" '''Update a state to the next time increment using the implicit Heun's method.\n",
" \n",
" Arguments\n",
" ---------\n",
" state : array of dependent variables\n",
" rhs : function that computes the RHS of the DiffEq\n",
" dt : float, time increment\n",
" etol : tolerance in error for each time step corrector\n",
" maxiters: maximum number of iterations each time step can take\n",
" \n",
" Returns\n",
" -------\n",
" next_state : array, updated after one time increment'''\n",
" e=1\n",
" eps=np.finfo('float64').eps\n",
" next_state = state + rhs(state)*dt\n",
" for n in range(0,maxiters):\n",
" next_state_old = next_state\n",
" next_state = state + (rhs(state)+rhs(next_state))/2*dt\n",
" e=np.sum(np.abs(next_state-next_state_old)/np.abs(next_state+eps))\n",
" if e<etol:\n",
" break\n",
" return next_state"
]
},
{
"cell_type": "code",
"execution_count": 79,
"metadata": {},
"outputs": [],
"source": [
"def rk2_step(state, rhs, dt):\n",
" '''Update a state to the next time increment using modified Euler's method.\n",
" \n",
" Arguments\n",
" ---------\n",
" state : array of dependent variables\n",
" rhs : function that computes the RHS of the DiffEq\n",
" dt : float, time increment\n",
" \n",
" Returns\n",
" -------\n",
" next_state : array, updated after one time increment'''\n",
" \n",
" mid_state = state + rhs(state) * dt*0.5 \n",
" next_state = state + rhs(mid_state)*dt\n",
" \n",
" return next_state"
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {},
"outputs": [],
"source": [
"def simplerocket(state,dmdt=0.05, u=250):\n",
" '''Computes the right-hand side of the differential equation\n",
" for the acceleration of a rocket, without drag or gravity, in SI units.\n",
" \n",
" Arguments\n",
" ---------- \n",
" state : array of three dependent variables [y v m]^T\n",
" dmdt : mass rate change of rocket in kilograms/s default set to 0.05 kg/s\n",
" u : speed of propellent expelled (default is 250 m/s)\n",
" \n",
" Returns\n",
" -------\n",
" derivs: array of three derivatives [v (u/m*dmdt-g-c/mv^2) -dmdt]^T\n",
" '''\n",
" \n",
" dstate = np.array([state[1], u/state[2]*dmdt, -dmdt])\n",
" return dstate"
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 1440x1440 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#Tsiolkovsky\n",
"m0 = 0.25 \n",
"u = 250\n",
"time = np.linspace(0,4,1000)\n",
"dt = time[1] - time[0]\n",
"\n",
"\n",
"m_Ts = np.zeros(len(time))\n",
"m_Ts[0] = 0.25\n",
"for i in range(1, len(m_Ts)):\n",
" m_Ts[i] = m_Ts[i-1] - 0.05*dt\n",
"v_Ts = -u*np.log(m_Ts / m0)\n",
"\n",
"#Explicit and implicit\n",
"num_sol_simple_rk2 = np.zeros([N,3]) \n",
"y0 = 0 \n",
"v0 = 0 \n",
"m0 = 0.25 \n",
"\n",
"num_sol_simple_rk2[0,0] = y0\n",
"num_sol_simple_rk2[0,1] = v0\n",
"num_sol_simple_rk2[0,2] = m0 \n",
"for i in range(N-1):\n",
" num_sol_simple_rk2[i+1] = rk2_step(num_sol_simple_rk2[i],simplerocket, dt)\n",
" \n",
"num_sol_simple_heun = np.zeros([N,3])\n",
"num_sol_simple_heun[0,0] = y0\n",
"num_sol_simple_heun[0,1] = v0\n",
"num_sol_simple_heun[0,2] = m0 \n",
"for i in range(N-1):\n",
" num_sol_simple_heun[i+1] = heun_step(num_sol_simple_heun[i],simplerocket, dt)\n",
"\n",
"#plot\n",
"\n",
"v_rk2 = num_sol_simple_rk2[:,1]\n",
"m_rk2 = num_sol_simple_rk2[:,2]\n",
"v_heun = num_sol_simple_heun[:,1]\n",
"m_heun = num_sol_simple_heun[:,2]\n",
"fig = plt.figure(figsize=(20,20))\n",
"plt.plot(v_Ts,m_Ts/m0, label = 'Tsiokolvskys Equation', linestyle = '-', color = 'r')\n",
"plt.plot(v_rk2, m_rk2/m0, label = 'RK2 Explicit Integration', linestyle = '--', color = 'k')\n",
"plt.plot(v_heun, m_heun/m0, label = 'Heun Implicit Integration', linestyle = ':', color = 'b')\n",
"plt.xlabel('Velocity in m/s', fontsize = 20)\n",
"plt.ylabel('M(t) / M(0)', fontsize = 20)\n",
"plt.title('Comparing Explicit and Implicit Integration to the Tsikolvsky for Convergence', fontsize = 16);\n",
"plt.legend(fontsize = 25);"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"2. You should have a converged solution for integrating `simplerocket`. Now, create a more relastic function, `rocket` that incorporates gravity and drag and returns the velocity, $v$, the acceleration, $a$, and the mass rate change $\\frac{dm}{dt}$, as a function of the $state = [position,~velocity,~mass] = [y,~v,~m]$ using eqn (1). Where the mass rate change $\\frac{dm}{dt}$ and the propellent speed $u$ are constants. The average velocity of gun powder propellent used in firework rockets is $u=250$ m/s [3,4]. \n",
"\n",
"$\\frac{d~state}{dt} = f(state)$\n",
"\n",
"$\\left[\\begin{array}{c} v\\\\a\\\\ \\frac{dm}{dt} \\end{array}\\right] = \n",
"\\left[\\begin{array}{c} v\\\\ \\frac{u}{m}\\frac{dm}{dt}-g-\\frac{c}{m}v^2 \\\\ \\frac{dm}{dt} \\end{array}\\right]$\n",
"\n",
"Use [two integration methods](../notebooks/03_Get_Oscillations.ipynb) to integrate the `rocket` function, one explicit method and one implicit method. Demonstrate that the solutions converge to equation (2.b) the Tsiolkovsky equation. Use an initial state of y=0 m, v=0 m/s, and m=0.25 kg. \n",
"\n",
"Integrate the function until mass, $m_{f}=0.05~kg$, using a mass rate change of $\\frac{dm}{dt}=0.05$ kg/s, . \n",
"\n",
"Compare solutions between the `simplerocket` and `rocket` integration, what is the height reached when the mass reaches $m_{f} = 0.05~kg?$\n"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {},
"outputs": [],
"source": [
"def rocket(state,dmdt=0.05, u=250,c=0.18e-3):\n",
" '''Computes the right-hand side of the differential equation\n",
" for the acceleration of a rocket, with drag, in SI units.\n",
" \n",
" Arguments\n",
" ---------- \n",
" state : array of three dependent variables [y v m]^T\n",
" dmdt : mass rate change of rocket in kilograms/s default set to 0.05 kg/s\n",
" u : speed of propellent expelled (default is 250 m/s)\n",
" c : drag constant for a rocket set to 0.18e-3 kg/m\n",
" Returns\n",
" -------\n",
" derivs: array of three derivatives [v (u/m*dmdt-g-c/mv^2) -dmdt]^T\n",
" '''\n",
" g = 9.81\n",
" dstate = np.array([state[1], ((u/state[2])*dmdt - g - (c/(state[2]))*state[1]**2),-dmdt])\n",
" return dstate"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 1440x1440 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#Explicit and implicit rocket\n",
"num_sol_r_rk2 = np.zeros([N,3]) \n",
"y0_r = 0\n",
"v0_r = 0\n",
"m0_r = .25\n",
"N = int(4/dt)\n",
"\n",
"num_sol_r_rk2[0,0] = y0_r\n",
"num_sol_r_rk2[0,1] = v0_r\n",
"num_sol_r_rk2[0,2] = m0_r\n",
"for i in range(N-1):\n",
" num_sol_r_rk2[i+1] = rk2_step(num_sol_r_rk2[i],rocket, dt)\n",
" \n",
"num_sol_r_heun = np.zeros([N,3])\n",
"num_sol_r_heun[0,0] = y0_r\n",
"num_sol_r_heun[0,1] = v0_r\n",
"num_sol_r_heun[0,2] = m0_r \n",
"for i in range(N-1):\n",
" num_sol_r_heun[i+1] = heun_step(num_sol_r_heun[i],rocket, dt)\n",
"\n",
"#plot\n",
"v_r_rk2 = num_sol_r_rk2[:,1]\n",
"m_r_rk2 = num_sol_r_rk2[:,2]\n",
"v_r_heun = num_sol_r_heun[:,1]\n",
"m_r_heun = num_sol_r_heun[:,2]\n",
"fig = plt.figure(figsize=(20,20))\n",
"plt.plot(v_Ts,m_Ts/m0, label = 'Tsiokolvskys Equation', linestyle = '-', color = 'r')\n",
"plt.plot(v_r_rk2, m_r_rk2/m0, label = 'RK2 Explicit Integration', linestyle = '--', color = 'k')\n",
"plt.plot(v_r_heun, m_r_heun/m0, label = 'Heun Implicit Integration', linestyle = ':', color = 'b')\n",
"plt.xlabel('Velocity in m/s', fontsize = 20)\n",
"plt.ylabel('M(t) / M(0)', fontsize = 20)\n",
"plt.title('Comparing Explicit and Implicit Integration to the Tsikolvsky for Convergence', fontsize = 16);\n",
"plt.legend(fontsize = 25);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the Simplerocket case we can see how ignoring gravity and drag produces higher velocities. In the rocket case and cases that include these factors we can expect lower velocities and final heights. As you can see both methods explicit and impicit have converged and we can use either method to obtain values for our function that reutns the final height of the firework when it reaches 0.05kg. "
]
},
{
"cell_type": "code",
"execution_count": 92,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"We can see the rocket will give us 424.53266 meters at m_f = 0.05 and the simple rocket will give us a higher value of 597.63988 meters at m_f = 0.05\n"
]
}
],
"source": [
"simplerocket_height = num_sol_simple_rk2[-1,0]\n",
"rocket_height = num_sol_r_rk2[-1,0]\n",
"print('We can see the rocket will give us {:.5f} meters at m_f = 0.05 and the simple rocket will give us a higher value of {:.5f} meters at m_f = 0.05'.format(rocket_height, simplerocket_height))"
]
},
{
"cell_type": "code",
"execution_count": 95,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#height comparison\n",
"plt.figure(figsize=(6,6))\n",
"plt.plot(time[0:], num_sol_simple_rk2[:,0], label = 'Simplerocket')\n",
"plt.plot(time[0:-1], num_sol_r_rk2[:,0], label = 'Rocket')\n",
"plt.title('Comparision of simplerocket and rocket heights', fontsize = 14)\n",
"plt.xlabel('Time', fontsize = 10)\n",
"plt.ylabel('Height', fontsize = 10)\n",
"plt.legend(fontsize = 14);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"3. Solve for the mass change rate that results in detonation at a height of 300 meters. Create a function `f_dm` that returns the final height of the firework when it reaches $m_{f}=0.05~kg$. The inputs should be \n",
"\n",
"$f_{m}= f_{m}(\\frac{dm}{dt},~parameters)$\n",
"\n",
"where $\\frac{dm}{dt}$ is the variable we are using to find a root and $parameters$ are the known values, `m0=0.25, c=0.18e-3, u=250`. When $f_{m}(\\frac{dm}{dt}) = 0$, we have found the correct root. \n",
"\n",
"Plot the height as a function of time and use a star to denote detonation at the correct height with a `'*'`-marker\n",
"\n",
"Approach the solution in two steps, use the incremental search [`incsearch`](../notebooks/04_Getting_to_the_root.ipynb) with 5-10 sub-intervals _we want to limit the number of times we call the function_. Then, use the modified secant method to find the true root of the function.\n",
"\n",
"a. Use the incremental search to find the two closest mass change rates within the interval $\\frac{dm}{dt}=0.05-0.4~kg/s.$\n",
"\n",
"b. Use the modified secant method to find the root of the function $f_{m}$.\n",
"\n",
"c. Plot your solution for the height as a function of time and indicate the detonation with a `*`-marker."
]
},
{
"cell_type": "code",
"execution_count": 115,
"metadata": {},
"outputs": [],
"source": [
"def incsearch(func,xmin,xmax,ns=50):\n",
"\n",
" x = np.linspace(xmin,xmax,ns)\n",
" f = np.zeros(ns)\n",
" for i in range(ns):\n",
" f[i] = func(x[i])\n",
" sign_f = np.sign(f)\n",
" delta_sign_f = sign_f[1:]-sign_f[0:-1]\n",
" i_zeros = np.nonzero(delta_sign_f!=0)\n",
" nb = len(i_zeros[0])\n",
" xb = np.block([[ x[i_zeros[0]+1]],[x[i_zeros[0]] ]] )\n",
"\n",
" \n",
" if nb==0:\n",
" print('no brackets found\\n')\n",
" print('check interval or increase ns\\n')\n",
" else:\n",
" print('number of brackets: {}\\n'.format(nb))\n",
" return xb\n",
"\n",
"def mod_secant(func,dx,x0,es=0.0001,maxit=50):\n",
"\n",
" iter = 0;\n",
" xr=x0\n",
" for iter in range(0,maxit):\n",
" xrold = xr;\n",
" dfunc=(func(xr+dx)-func(xr))/dx;\n",
" xr = xr - func(xr)/dfunc;\n",
" if xr != 0:\n",
" ea = abs((xr - xrold)/xr) * 100;\n",
" else:\n",
" ea = abs((xr - xrold)/1) * 100;\n",
" if ea <= es:\n",
" break\n",
" return xr,[func(xr),ea,iter]\n",
"\n",
"def bisect(func,xl,xu,es=0.0001,maxit=50):\n",
" xr = xl\n",
" ea = 100\n",
" for iter in range(0,maxit):\n",
" xrold = xr\n",
" xr = (xl + xu)/2\n",
" if xr != 0:\n",
" ea = abs((xr - xrold)/xr) * 100\n",
" else:\n",
" ea = abs((xr - xrold)/1) * 100\n",
" test = func(xl)*func(xr)\n",
" if test < 0:\n",
" xu = xr;\n",
" elif test > 0:\n",
" xl = xr;\n",
" else:\n",
" ea = 0;\n",
" if ea <= es:\n",
" break\n",
"\n",
" root = xr\n",
" fx = func(xr);\n",
" return root,[fx,ea,iter]"
]
},
{
"cell_type": "code",
"execution_count": 113,
"metadata": {},
"outputs": [],
"source": [
"def f_m(dmdt,m0=0.25, c=0.18e-3, u=250):\n",
" ''' define a function f_m(dmdt) that returns \n",
" height_desired-height_predicted[-1]\n",
" here, the time span is based upon the value of dmdt\n",
" \n",
" arguments:\n",
" ---------\n",
" dmdt: the unknown mass change rate\n",
" m0: the known initial mass\n",
" c: the known drag in kg/m\n",
" u: the known speed of the propellent\n",
" \n",
" returns:\n",
" --------\n",
" error: the difference between height_desired and height_predicted[-1]\n",
" when f_m(dmdt)= 0, the correct mass change rate was chosen\n",
" '''\n",
" height_desired = 300\n",
" y0_r = 0\n",
" v0_r = 0\n",
" m0_r = 0.25\n",
" mdif = m0 - 0.05\n",
" seconds = mdif/dmdt\n",
" time = np.linspace(0,seconds, 1000)\n",
" dt = time[1] - time[0]\n",
" N = int(seconds/dt)\n",
" num_sol_r_heun = np.zeros([N,3])\n",
" num_sol_r_heun[0,0] = y0_r\n",
" num_sol_r_heun[0,1] = v0_r\n",
" num_sol_r_heun[0,2] = m0_r \n",
" for i in range(N-1):\n",
" num_sol_r_heun[i+1] = heun_step(num_sol_r_heun[i],lambda state: rocket(state,dmdt,u=250,c=0.18e-3), dt)\n",
" \n",
" height_calc = num_sol_r_heun[-1,0]\n",
" error = height_desired - height_calc\n",
" \n",
" return error"
]
},
{
"cell_type": "code",
"execution_count": 114,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"number of brackets: 1\n",
"\n",
"[[0.08181818]\n",
" [0.07828283]]\n"
]
}
],
"source": [
"#a\n",
"m_range = incsearch(f_m,0.05,0.4, ns=100)\n",
"print(m_range)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The mass change rate is in this range, and that is when the rocket will hit 300m"
]
},
{
"cell_type": "code",
"execution_count": 119,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The modified secant function gives us dmdt = 0.07890355, with error of 2.76505e-06 in 12 iterations.\n"
]
}
],
"source": [
"#b\n",
"dmdt_find, error_1 = mod_secant(lambda x: f_m(x), 0.00001, 0.1)\n",
"\n",
"print('The modified secant function gives us dmdt = {:.8f}, with error of {:.5e} in {} iterations.'.format(dmdt_find, error_1[1], error_1[2]))"
]
},
{
"cell_type": "code",
"execution_count": 120,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#c\n",
"mdif = 0.25 - 0.05\n",
"dmdt = dmdt_find\n",
"seconds = mdif/dmdt\n",
"time = np.linspace(0,seconds, 1000)\n",
"dt = time[1] - time[0]\n",
"N = int(seconds/dt)\n",
"\n",
"num_sol_300 = np.zeros([N,3]) \n",
"num_sol_300[0,0] = y0_r\n",
"num_sol_300[0,1] = v0_r\n",
"num_sol_300[0,2] = m0_r \n",
"for i in range(N-1):\n",
" num_sol_300[i+1] = heun_step(num_sol_300[i],lambda state: rocket(state,dmdt,u=250,c=0.18e-3), dt)\n",
" \n",
"y_300 = num_sol_300[:,0]\n",
"t_300 = time[:-1]\n",
"plt.figure(figsize=(10,10));\n",
"plt.plot(t_300, y_300);\n",
"plt.title('Rocket to 300', fontsize = 16);\n",
"plt.xlabel('Time', fontsize = 12);\n",
"plt.ylabel('Height', fontsize = 12);\n",
"plt.plot(t_300[-1], y_300[-1], 'o', color = 'r', markersize = 14, label = 'Detonation at 300 Meters');\n",
"plt.legend(fontsize = 12);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## References\n",
"\n",
"1. Math 24 _Rocket Motion_. <https://www.math24.net/rocket-motion/\\>\n",
"\n",
"2. Kasdin and Paley. _Engineering Dynamics_. [ch 6-Linear Momentum of a Multiparticle System pp234-235](https://www.jstor.org/stable/j.ctvcm4ggj.9) Princeton University Press \n",
"\n",
"3. <https://en.wikipedia.org/wiki/Specific_impulse>\n",
"\n",
"4. <https://www.apogeerockets.com/Rocket_Motors/Estes_Motors/13mm_Motors/Estes_13mm_1_4A3-3T>"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 4
}