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Orbital Mechanics

In the planning of any space mission, whether manned or unmanned, one of the most important problems to solve is the orbital mechanics of the spaceflight-how to get the spacecraft from here to there. Sometimes the problem is a relatively simple one: for instance, determining the amount of thrust for how much time to get the space shuttle into a low-earth stable orbit has been more or less perfected. But working out the equations for launching the Voyager probe to visit four major planets, their satellites and rings, without crashing into any of them or flying too far from them, was a formidable problem. As more spaceflights are planned and designed, students and engineers will need improved training in orbital mechanics. This classroom-tested textbook takes its title from an elective course at the University of Illinois at Urbana-Champaign which has been taught to senior undergraduates and first-year graduate students for the past 22 years. The subject of orbital mechanics is developed starting from the first principles of Newton's laws of motion and the law of gravitation.  However, unlike other books, the authors also derive the other important results from the first principles, including the fundamental Kepler's equation, the n-body and two-body equations of motion and Kepler's laws of planetary motion, orbital elements, Lambert's time-of-flight equation, the rocket equation and staging, impulsive orbit transfer and rendezvous, interplanetary spacecraft trajectories, the hyperbolic gravity-assist relations, the Hill-Clohessy-Wiltshire equations of relative motion, the Lagrange perturbation equations, and the Gauss and Laplace methods of orbit determination. The subjects of orbit transfer and spacecraft trajectories receive special attention because they are a favorite research area of the authors and their students.

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<!DOCTYPE html>
<html>
   <head>
      <meta name="viewport" content="width=device-width, initial-scale=1">
      <link
         rel="stylesheet"
         href="https://unpkg.com/tachyons@4.12.0/css/tachyons.min.css"
         />
   </head>
   <body>
      <div class="flex flex-column justify-center w-100 ph3 normal lh-copy pt1">
            <div class="tc">
               <img src="https://i5.walmartimages.com/dfw/8822aef6-7abe/k2-_f4ee767f-a90a-4f70-be39-71e5d7b238a0.v1.jpg">
               <h3>4 equal payments</h3>
               <h4 class="gray">Buy what you love and split the cost. It's that easy. </h4>
            </div>
            <ul>
            <b>
               <li>Add item(s) to your cart.</li>
               <li>
                  Add items to checkout and choose 
                  <image height="14" width="auto" src="https://i5.walmartimages.com/dfw/8822aef6-7abe/k2-_f4ee767f-a90a-4f70-be39-71e5d7b238a0.v1.jpg"></image>
               </li>
               <li>Enter your debit or credit card information. </li>
               <li>Your first payment is taken when the order is processed, and the remaining 3 are automatically taken every two weeks.</li>
            </b>
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            <p class="gray">Please note that a higher initial payment may be required for some purchases. Pay later in 4 <a href="https://cdn.klarna.com/1.0/shared/content/legal/terms/0/en_ca/paylaterin4" target="_blank">terms</a> available here. For Quebec residents, these Pay Later 4 <a href="https://cdn.klarna.com/1.0/shared/content/legal/terms/0/en_ca/paylaterin4_quebec" target="_blank">terms</a> are applicable. </p>
      </div>
   </body>
</html>

<!DOCTYPE html>
<html lang="en">
  <head>
    <meta charset="UTF-8" />
    <meta name="viewport" content="width=device-width, initial-scale=1" />
    <link
      rel="stylesheet"
      href="https://unpkg.com/tachyons@4.12.0/css/tachyons.min.css"
    />
    <style>
      body,
      html {
        font-family: 'Everyday Sans', Arial, sans-serif;
      }

      li {
        margin-bottom: 0.5rem;
      }
    </style>
    <title>Walmart Installment Plan</title>
  </head>

  <body>
    <div class="col-container w-100 normal lh-copy pt1">
      <div class="col tc">
        <img
          width="35%"
          src="https://i5.walmartimages.com/dfw/8822aef6-971e/k2-_ed78b905-6394-4f88-a805-ab299123f2cc.v1.png"
          alt="Walmart Installment Plan"
        />

        <h3>Shop today, take time to pay</h3>
        <p>
          Split your purchase into 6 equal installments*  /
          <a
            href="https://i5.walmartimages.ca/dfw/8822aef6-d3f1/k2-_417f32f7-5074-45a6-b23d-5d5b3039e5b8.v1.pdf"
            target="_blank"
            rel="noopener noreferrer"
          >
            Terms and Conditions apply
          </a>
        </p>

        <h4>Here's how it works</h4>
        <ul class="tl">
          <li>Spend $199.99 or more on walmart.ca**</li>
          <li>Select Installment Plan at checkout</li>
          <li>
            Pay with your Walmart Rewards Mastercard. If you don't have one,
            click "Apply Now".
          </li>
        </ul>

        <h4>Details</h4>
        <p>
          Your qualifying purchase will be split into 6 equal monthly
          installments charged to your Walmart Rewards Mastercard. If your items
          ship on separate dates, each shipment will be converted to a separate
          Installment Plan.
        </p>

        <h4>Don't have a Walmart Rewards Mastercard?</h4>
        <p>
          Apply now and upon approval use your new account to enjoy the
          convenience of an Installment Plan on eligible purchases*. Purchased
          items must appear on a single receipt totaling $199.99 or more (before
          taxes, discounts, Walmart Reward Dollar™ redemptions, and
          shipping/delivery fees)∆
        </p>

        <p>
          *See
          <a
            href="https://www.walmart.ca/cp/shop/installment-plan/6000204340202?icid=Glass_PIP_FinancingOptions_WRMC_LearnHow_TermsConditions2_WM"
            target="_blank"
            rel="noopener noreferrer"
          >
            Terms and Conditions
          </a>
          for full details
        </p>

        <p>
          ** Eligible Installment Plan purchases are excluded from earning
          Walmart Reward Dollars™. Walmart Gift Cards and Walmart Reward
          Dollars™ cannot currently be used on Installment Plan transactions.
         
        </p>

        <p>
          ∆ All new credit card applications are subject to approval by
          Fairstone Bank of Canada.
        </p>

        <div class="pt3">
          <a
            href="https://www.walmart.ca/en/cp/installment-plan/6000204340202?icid=Glass_PIP_FinancingOptions_WRMC_LearnHow_ApplyNow_WM"
            target="_blank"
            rel="noopener noreferrer"
          >
            <button
              class="pv2 ph3 sans-serif bg-blue white bn no-underline br-pill f6 pointer b"
              type="button"
            >
              Apply now
            </button>
          </a>
        </div>
      </div>
    </div>
  </body>
</html>

Orbital Mechanics

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