PHYSICAL-MATHEMATICAL CONCEPTS IN A SIMPLIFIED STUDY OF THE PROTOCOL OF THE LAUNCH OF A ROCKET TO PUT A SATELLITE INTO ORBIT

Universidad Politécnica de Valencia (SPAIN)

Appears in: EDULEARN17 Proceedings

Publication year: 2017

Pages: 9228-9236

ISBN: 978-84-697-3777-4

ISSN: 2340-1117

doi: 10.21125/edulearn.2017.0734

Publication year: 2017

Pages: 9228-9236

ISBN: 978-84-697-3777-4

ISSN: 2340-1117

doi: 10.21125/edulearn.2017.0734

Conference name: 9th International Conference on Education and New Learning Technologies

Dates: 3-5 July, 2017

Location: Barcelona, Spain

Dates: 3-5 July, 2017

Location: Barcelona, Spain

In this paper we present a real project related to the professional skills of the Geomatic and Topography Degree, adapted for the first level, and involving three core subjects namely, Algebra, Calculus and Mechanics. The approach of this real project, proposed as an interdisciplinary practice, is related with the path followed by a rocket that puts a satellite in orbit. In real situations, sixteen are the steps of the protocol to achieve this goal, from the takeoff of the rocket to its entrance on the final elliptic orbit.

To adapt this complicated protocol to our purposes, we have simplified the steps considering finally only four:

(i) the takeoff of the rocket;

(ii) the change of the upright path at a predetermined height from the ground to approach to the elliptical orbit;

(iii) the link between the rise of the rocket and its placing in elliptical orbit; (iv) the putting into the elliptical orbit itself.

Analysis of classic geometric figures as the conics, with their different forms of representation, becomes necessary to be able to develop this practice, since they adapt to the forms described by orbits of the satellites. Modeling makes it necessary to use different reference systems and their relationship between them. In addition, the simplified study of the satellite position vector in its different phases provides fundamental data such as speed, acceleration or balance of forces, related with the subjects of Dynamic or Kinematics, and where the concept of derivative plays a fundamental role. A later detailed study on the movement of the satellite would lead to propose systems of differential equations that relate the elements studied and whose complexity requires numerical methods for their resolution.

References:

[1] Sánchez-Pérez, J.V., Balaguer-Beser, A., Checa-Martínez, E., Marín-Molina, J., Ferri, M., Bravo, J.M. (2015). Multidisciplinary practices for first engineering level: obtaining the gravitational acceleration experimentally. Proceedings of EDULEARN15 conference, pp. 656-664, Barcelona, Spain.

[2] R.Kent Nagle et al. Ecuaciones diferenciales y problemas con valores en la frontera. 4ª edición. Pearson Educación ,2015, ISBN 970-26-0592-X

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