Department  Applied Mathematics 
Designation  Professor and Head 
Educational Qualification  Ph. D. 
ashutoshmaths.narayan@gmail.com, ashu.narayan@bitdurg.ac.in  
Contact Number 
Department of Applied Mathematics
DR. Ashutosh Narayan
Dr. Ashutosh Narayan was awarded CSIR fellowship: Junior Research fellow (198284) and Senior Research fellow (198486). He was awarded the Ph. D degree on the topic: "Nonlinear effect in the motion and stability of interconnected satellite system near circular orbits" in the year 1986, from Bihar University Muzaffarpur. Dr. Ashutosh Narayan has been selected as a member of American Mathematical Society, with effect from January 2018, on the basis of the points he has earned by revewing research papers published in various reputed journals for Mathematical Review.
Celestial Mechanics: Stability Theory
Papers in Journals 
Conferences paper (Full length) 
Books 
Book chapter 

National 
International 
National 
International 

16 
48 
12 
03 
04 
00 
Total: 64 
Total: 15 


Research Papers Published (National/ International Journal)
[1] 
Nonlinear nonresonance oscillation of interconnected satellites system under the Solar pressure about the position equilibrium for small eccentricity. Proc. Nat. Acad. Sci., India vol. 57(A), pp 427437, 1987. India 
[2] 
Nonlinear main resonance oscillation of the system of two inter connected Satellites under the influence of solar pressure about stable equilibrium for small eccentricity. Proc. Nat. Acad. Sci., India, vol. 60(A) pp. 307315, 1990.India 
[3] 
Nonlinear parametric resonance oscillation of the system of two interconnected satellites under the influence of solar pressure about the stable position of equilibrium for small eccentricity. Proc. Nat. Acad. Sci., India, vol. 62(A) part I 1992. India 
[4] 
Nonlinear effects in the motion and stability of an interconnected satellites system Orbiting around an oblate earth. Proc. Nat. Acad. Sci., India, vol. 71 part III, pp 225 235, 2001, India 
[5] 
Nonlinear parametric resonance oscillation of the system of two interconnected Satellites orbiting around an oblate earth. Proc. Nat. Acad. Sci., India, vol. 67(A), pp. 4555, 1997. India 
[6] 
Nonlinear oscillation of inter connected satellite system under the combined influence of the solar radiation pressure and dissipative force of general nature. Bulletin of the Astronomical Society of India, Bangalore, vol. 29, 2001. India 
[7] 
Effect of solar radiation pressure on the motion and stability of Interconnected Satellites system in orbit. Indian J. Pure Appl. Math., vol. 33(5), pp 609623, 2002. India 
[8] 
Some nonlinear effects of perturbing forces of general nature and solar radiation Pressure On the motion and stability of an inter connected satellites system in elliptical orbit. Bull. Cal. Math. Soc. 95(3), pp. 245256, 2003. India. 
[9] 
Stability of planar oscillations of a satellite in elliptical orbit. Journal of Modelling (AMSE), vol. 73, no. 3, pp.51, 2004. France 
[10] 
Effects of Earth Magnetic field on the stability of cable connected satellites system In equatorial orbit Journal of Modeling (AMSE), vol. 73, no. 4, pp.4560, 2004.France 
[11] 
Nonlinear planar oscillation of a rigid satellite in elliptical orbit” Bull. Cal. Math Soc. 97(1), pp. 3140, 2005. India 
[12] 
Stability of extensible cable connected satellite system in elliptical orbit. Journal of AMSE, France, vol.74, no.7, 2005. France 
[13] 
Effect of solar radiation pressure and Magnetic field of the earth on stability of Cable connected satellites system in equatorial orbit. Bull. Cal. Math. Soc. 97(6), pp. 417432, 2005. India 
[14] 
Modelling and simulation of extensible cableconnected satellites system in low altitude orbit. Journal of AMSE, France, vol.49, no.2, pp. 61, 2006. France 
[15] 
Effect of the earth magnetic field and tidal force on oscillations of cableconnected satellites system in elliptical orbit. Journal of AMSE, vol. – 75, no. 3, pp. 19, 2006. France 
[16] 
Nonlinear effects of solar radiation pressure and magnetic field of the earth on the stability of cable connected satellites system in elliptical orbit. Bull. Cal. Math. Soc. 93(3), pp. 209222, 2007 India 
[17] 
Nonlinear stability of cable connected satellites system under the combined effects Of the solar radiation pressure and the magnetic field of the earth. Journal of AMSE, vol. 76, no. 1, pp. 73, 2007. France 
[18] 
Nonlinear oscillation of extensible cable connected satellites system in elliptical orbit. Journal of AMSE, vol. – 76, no. 4, pp. 1938, 2007. France 
[19] 
Effect of earth magnetic field and the solar radiation pressure on stability of extensible cableconnected satellites system in orbit. Bull. Cal. Math. Soc. 100(5), pp 427 –446, 2008. India 
[20] 
Nonlinear oscillation of extensible cable connected satellites system in circular orbit. Bull. Cal. Math. Soc. 100(4), 2008 India 
[21] 
Stability of Triangular points in the generalized oblate elliptical restricted three body problem. Vol77 no2 ex Modeling B pp 119 , 2008 France 
[22] 
Resonance Stability of Triangular points of the Planar elliptical restricted three Body Problem in which both of the primaries are oblate spheroid. Vol. 77 no2 ex Modeling B pp. 5573, 2008, France. 
[23] 
Stability of extensible cable connected satellites system under environmental Perturbation forces. Vol. 77 no6 exModeling B, pp3554,2008, France 
[24] 
Non linear parametric resonance stability of cable connected satellites system under the combined effects of the solar radiation pressure and magnetic field of the earth Vol. 77, no 5 , ex Modeling, B pp4459, 2008. France 
[25] 
Non linear effects of the earth magnetic field and periodic forces on cable connected satellites system in elliptical orbit. Bull. Cal. Math Soc., 102,(3) 227240 (2010) 
[26] 
Condition of free and constrained motion of cable connected satellites system in low altitude orbit. IJPAM, Vol. 63 no.1 ,107127,2010 , Bulgaria 
[27] 
Stability of cable connected satellites system in low altitude equatorial orbit. Journal of AMSE ,France, Vol. 79, 2010 
[28] 
Non linear oscillations of extensible cable connected satellites system under environmental forces in elliptical orbit. Journal of AMSE ,France, Vol. 79, 2010 
[29] 
Condition of non linear stability of dumbell satellite in elliptical orbit. IJPAM, Vol.72 no. 2 , 173, 194, 2011, Bulgaria. 
[30] 
Stability of triangular equilibrium points in elliptical restricted three body problem under the effects of photogravitational and oblateness of primaries. IJPAM, Vol. 70, no. 5 , 735754, 2011,Bulgaria. 
[31] 
Effects of photogravitational and oblateness on the triangular Lagrangian points in Elliptical restricted three body problem. IJPAM, Vol. 68, no. 2 ,201224, 2011, Bulgaria 
[32] 
Some nonlinear resonance oscillations of dumbell satellite in elliptical orbit IJPAM, Vol. 78, no. 6, 931944, 2012, Bulgaria . 
[33] 
Existence and stability of collinear equilibrium points in elliptical restricted three body problem under the effects of photogravitational and oblateness primaries. IJPAM , Vo.l 80, no.4 ,477494, 2012, Bulgaria . 
[34] 
Stability of Equilibrium Points in Elliptical Restricted Three Body Problem under The radiation and oblateness of Primaries. Int. J. of Mathematical Sciences Vol. 33, no.1, 1103 1118, 2012. 
[35] 
Parametric Resonance Stability of Triangular Equilibrium Points of the Planar Elliptical Restricted Three Body Problem around the Primaries of Radiating and oblate Spheroid Int. J. of Mathematical Sciences Vol. 32, no. 12 , pp 346360, 2012 
[36] 
Effects of Oblateness and Radiation of Primaries on the Equilibrium Points in the Elliptical Restricted Three Body Problem Int. J. of Mathematical Sciences Vol. 32, no. 10 pp 330345, 2012. 
[37] 
Pulsating Different Curves of Zero Velocity around Triangular Equilibrium Pointin Elliptical Restricted ThreeBody Problem. Journal of Mathematics Volume 2013 (2013), Article ID 936859. 
[38] 
Some nonlinear parametric resonance oscillations of dumbell satellite in elliptical orbit. IJAMR Vol.02, No. 02, pp 200212, 2013. 
[39] 
Effects of radiation and triaxiality of primaries on triangular equilibrium points in Elliptic restricted three body problem. Journal of Astrophysics and Space Science vol. 349 (1) pp 151164, 2014. 
[40] 
Parametric resonance stability of triangular equilibrium points of the planar elliptical restricted threebody problem around the primaries of oblate spheroid. Journal of AMSE, France, Vol. 78, issue 4, 2009. 
[41] 
Motion and stability of triangular equilibrium points in elliptical restricted three body problem under the radiating primaries. Astrophysics and Space Science, DOI 10.1007/s1050901419031, 2014 
[42] 
Existence and stability of collinear equilibrium points in elliptical restricted three body problem under the radiating primaries. Astrophysics and Space Science, DOI 10.1007/s1050901420945, 2014 
[43] 
Resonance stability of triangular equilibrium points in elliptical restricted three body problem under the radiating primaries. Astrophysics and Space Science, DOI 10.1007/s1050901420856, 2014 
[44] 
Stability of triangular lagrangian points in elliptical restricted three body problem under the radiating binary systems. Astrophysics and Space Science, DOI 10.1007/s1050901420148, 2014 
[45] 
Stability of triangular equilibrium points in the elliptic restricted problem of three bodies with radiating and triaxial primaries. Astrophysics and Space Science, DOI 10.1007/s105090141818X, 2014 
[46] 
Existence of resonance stability of triangular equilibrium points in circular case of the planar elliptical restricted three body problem under the oblate and radiating primaries around the binary system. Advances in Astronomy, DOI.org/10.1155/2014/287174, 2014 
[47] 
Nonlinear parametric resonance driven oscillations of dumbbell satellite in elliptical orbit under the combined effects of magnetic field of the earth and oblateness of the earth. International Journal of Advanced Astronomy, Vol. 03, pp 17, 2015. 
[48] 
Characteristic exponents of the triangular solution in the elliptical restricted three body problems under the radiation and oblateness of primaries. International Journal of Advanced Astronomy, Vol. 03, pp 816, 2015. 
[49] 
Higher order resonance stability of triangular libration points for radiating primaries in ER3BP. International Journal of Advanced Astronomy, Vol. 03, pp 26 39, 2015. 
[50] 
Non linear stability of triangular libration points in circular restricted three body under radiating and oblate primaries in presence of resonance. International Journal of Advanced Astronomy, Vol. 03 (2) 5868 
[51] 
Effects of radiation and triaxility of triangular equilibrium points in elliptical restricted three body problem International Journal of Advanced Astronomy, vol. 3 (2) (2015) 
[52] 
Trajectories of the infinitesimal mass around the triangular equilibrium points in elliptical restricted three bodies problem under oblate and radiating primaries for the binary systems. International Journal of Advanced Astronomy, vol. 3 (2) (2015). 
[53] 
Non linear stability of triangular equilibrium points in ER3BP under radiating primaries in presence of resonance. Diff. Eq. and Dyn. System. DOI10.1007/s125910150260z. 
[54] 
Nonlinear stability of the triangular libration points for radiating and oblate primaries in CR3BP in nonresonance condition. Vol. 2015, Article ID 850252 
[55] 
Linear stability and resonance of triangular equilibrium points in elliptic restricted three body problem with radiating primary and triaxial secondary. International Journal of Advanced Astronomy, vol. 4 No. (2) (2016) pp 8289. 
[56] 
Existance and stability of collinear points in elliptic restricted three body problem With raditiang and oblate primaries. International Journal of Advanced Astronomy, vol. 4 No. (2) , (2016) pp 95104. 
[57] 
Analysis of nonlinear stability of the triangular libration points for radiating and oblate primaries in ER3BP. International journal of Advanced Astronomy Vol. 5, No. (1) PP 5060. 
[58] 
Pulsating curves of zero velocity for infinitesimal mass around oblate and triaxial rigid body of triangular equilibrium points in elliptical restricted tree body problem International journal of Advanced Astronomy Vol.5, No. (1) PP 2937 
[59] 
Characteristics exponents of the triangular solution in the elliptical restricted three body problem under radiating and triaxial primaries International Journal of Advance Astronomy Vol. 5, No. (1) PP 1218 
[60] 
Bifurcation analysis of stability of triangular equilibrium points in the elliptic restricted problem of three bodies. IJPAM, Vol. 115, No.02 PP 271284. 
[61] 
Nonlinear stability of the triangular equilibrium points in the ellptic restricted three body problem Asian journal of Mathematics and computer research Vol. 16 No.(1) PP 4662. 
[62] 
Existence and stability of triangular equilibrium points in the ER3BP with oblate, radiating and triaxial primaries Journal of Applied physical science international Vol. 8, No. (1) PP 712. 
[63] 
Influence of poynting Robertson drag and oblateness on existence and stability of collinear points in elliptic restricted three body problem. Journal of Applied physical science international Vol. 8, No. (1), PP 2335 
[64] 
Evolutional and non evolutional motion of dumbell satellite near resonance oscillation. Journal of AMSE Vol. 83, No. (1) PP 6384. 
[65] 
Existence and stability of collinear equilibrium points in elliptic restricted three body problem with radiating primary and triaxial secondary. Modelling, Measurement and Control A, 19(1), 18, 2018. (SCOPUS indexed Journal) T usha and A Narayan 
[66] 
Dynamics of Oblate Test Particle under the Influence of Oblate and Radiating Primaries in Elliptic Restricted Three Body Problem. J. of Informatics and Mathl. Sciences, 10(1), 7392, 2018. (ESCI indexed Journal) A. Narayan, A. Chakraborty, A. Dewangan 
[67] 
Influence of PoyntingRobertson Drag and Oblateness on Existence and Stability of Out of Plane Equilibrium Points in Spatial Elliptic restricted three body problem. J. of Informatics and Mathl. Sciences, 10(1), 5572, 2018. (ESCI indexed Journal) A. Chakraborty, A. Narayan 
[68] 
Effect of the oblateness of the infinitesimal on existence and stability of out of plane equilibrium points in spatial elliptic restricted three body. Int. J of Pure and Appl. Math., 119(1), 609626, 2018. (SCOPUS indexed Journal) A. Narayan, A. Chakraborty, A. Dewangan 
[69] 
Pulsating Zero Velocity Surfaces and Fractal Basin of Oblate Infinitesimal in the Elliptic Restricted Three Body Problem. Few Body System, 59(3), 4356, 2018. Doi:10.1007/s0060101813689. (SCI indexed Journal) A. Narayan, A. Chakraborty, A. Dewangan 
[70] 
Existence of Resonance Stability of Triangular Equilibrium Points for an Oblate Infinitesimal in Elliptical Restricted Three Body Problem with Radiating Oblate Primaries. Modelling, Measurement and Control B, 86(3), 609626, 2018. (SCOPUS indexed Journal) A. Narayan, A. Chakraborty, A. Dewangan 
[71] 
Existence of Resonance Stability of Triangular Equilibrium Points for an Oblate Infinitesimal in Elliptical Restricted Three Body Problem with Radiating Oblate Primaries. Modelling, Measurement and Control B, 86(3), 609626, 2018. (SCOPUS indexed Journal) A. Narayan, A. Chakraborty, A. Dewangan 
[72] 
Effect of Stellar Wind and Poynting–Robertson Drag on Photogravitational Elliptic Restricted Three Body Problem, Solar System Research, 52(2), 2018. Doi: 168179, 10.1134/S0038094618020016. (SCI(E) indexed Journal) A. Chakraborty, A. Narayan 
Full length paper in proc. of International / National Conferences
[1.] Nonlinear effects on the motion and stability of inter connected satellite system in Elliptic orbit under the influence of Solar radiation pressure; SolarTerrestrial Prediction Workshop; Hitachi, Japan.
[2] Stability of an extensible cableconnected satellite system in elliptical orbit; International conference on Modeling and Simulation Vallasolid; 2224 Sep 2004, Spain.
[3] Effects of Solar radiation pressure with Earth shadow on the oscillations of Inter Connected Satellite system in elliptical orbit; International Conference on Modeling & Simulation Vallasolid; 2224 Sep 2004; Spain.
[4] Simulation of different Curves of zero velocity around triangular equilibrium points elliptical restricted three body problem; AICTE sponsored National Seminar on Applications of Mathematical Modeling in Science & Technology; 1516 March 2013, BIT Durg.
[5] Resonance Stability of Triangular equilibrium points of the planar elliptical restricted tree body problem in which both the primaries are oblate spheroids; AICTE sponsored National Seminar on Application of Mathematical Modeling in Science and Technology; 1516 March 2013, BIT, Durg.
[6] Nonlinear resonance stability of cableconnected satellite system under the combined effects of the solar radiation pressure and the magnetic field of the Earth; AICTE sponsored National Seminar on Application of Mathematical Modeling in Science and Technology; 1516 March 2013, BIT, Durg.
[7] Effects of Radiation and Triaxiality of Triangular equilibrium points in elliptical restricted three body problem; Proceedings of the National Conference on Applications of Mathematics in Science and Engineering; 1011 March 2016 sponsored by C COST.
[8] Existence and Stability of the Triangular equilibrium points in the dynamical system of elliptic restricted three body problem of three bodies with oblate, radiating and triaxial primaries; C COST sponsored National Conference on Application of Mathematics in Science and Engineering; 1011 March 2016.
[9] Linear Resonance stability of Triangular equilibrium points in the elliptic restricted three body problem with radiating and triaxial primaries; Proceedings of the National Conference on Applications of Mathematics in Science and Engineering; 1011 March 2016 sponsored by C COST.
[10] Linear Resonance stability of Triangular equilibrium points in the elliptic restricted three body problem under the radiating primaries around the binary systems; Proceedings of the National Conference on Applications of Mathematics in Science and Engineering; 1011 March 2016 sponsored by C COST.
[11] Nonlinear stability of the triangular libration points in ERTBP for radiating and oblate primaries in non resonance case; BITCON 2016 Emerging Trends in Science and Technology for National development.
[12] Characteristic Exponents of the Triangular Solution in the Elliptic Restricted Three Body problem under Radiating and Triaxial primaries; BITCON 2017 , National Conference on Challenges in Mathematics for the development of Science and Technology, 28 March 2017
[13] Existence and Stability of Triangular equiliubrium points in ERTBP with oblate infinitesimal mass; BITCON 2017 , National Conference on Challenges in Mathematics for the development of Science and Technology, 28 March 2017
[14] NonLinear Stability of the Equilibrium points in the Elliptic restricted three body problem; BITCON 2017, National Conference on Challenges in Mathematics for the development of Science and Technology, 28 March 2017.
[15] Effects of Poynting Robertson drag and oblateness on the stability and position of Triangular equilibrium points in Elliptic Restricted Three body Problem; BITCON 2017, National Conference on Challenges in Mathematics for the development of Science and Technology, 28 March 2017.
Other Responsibilities:
 Maths Reviewer: American Mathematical Society.
 Astrophysics & Space Science, Springer Journal of high repute.
 Advances of Space Research, Elsevier Journal.
 Journal of AMSE, France.
 Indian Journal of Physics , Springer Journal of high repute.
 Differential Equations & Dynamical Systems, Springer Journal of high repute.
 Journal of New Astronomy, Elsevier Journal.
Experience of Administrative Responsibilities in Academic Institutions:
From 
To 
Administrative Position 
Major responsibility 
01/02/2008 
Till date 
Head Of Department, Department of Mathematics 
To look after academic activity of faculty members. 
01/07/2008 
31/12/2014 
Dean (R&D ), Bhilai Instittue of Technology, Durg 
To monitor the research activities of the faculty members

2008 
2010 
Chairman, Proctorial Board 
To look after administration of Hostel, monitor various activities of students. 
2009 
2011 
Chairman, Board of Studies of Mathematics, Chhattisgarh Swami Vivekananda Technical University 

2009 
2011 
Worked as Dean Faculty of Sciences, Chhattisgarh Swami Vivekananda Technical University 
To look after the Research activities of University 
2009 
2011 
Worked as member Executive Council as well as Academic Council of Chhattisgarh Swami Vivekananda Technical University 

2009 
2010 
Center Superintendent of Examination, BIT, DURG 
Administrator of Examination Cell 
2010 
2011 
Senior Center Superintendent of Examination, BIT, DURG 
Administrator of Examination Cell 
2008 
2015 
Dean (R & D), BIT, DURG 

2016 
Till date 
Chairman, Board of Studies of Mathematics, Chhattisgarh Swami Vivekananda Technical University 

Worked as Reviewer of following reputed journals :
Felowship/Awards/Other recognitions:
 Life member of Indian Astronomical society, Banglore, India.
 Life member’s of the Indian Society of theoretical and Applied Mechanics, I.I.T. Khargpur, India.
 Life Member of Indian Academy of Mathematics Indore, India.
 Life member of Indian Society of Technical Education.
Sponsored Workshops/STTP Conducted/FDP (Conferences chair/ Convertor/Coordinator/CoCoordinator):
Sl. No. 
Topic/Title 
Dates 
No. of Days 
Organization/Place 
1 
Workshop for faculty on Applied Mathematics I 
2829 July 2012 
02 
CSVTU Bhilai 
2 
Workshop for faculty on Applied Mathematics II 
910 Nov 2012 
02 
CSVTU Bhilai 
Sponsored National/International Conference/Seminar/Symposium conducted:
Sl. No. 
Topic/Title 
Dates 
No. of Days 
Organization/Place 
1 
National Seminar on Applications of Mathematical Modeling in Science and Technology 
1516 March 2013 
02 
BIT ,DURG, Sponsored by AICTE 
2 
National conference on Application of Mathematics in Science and Engineering 
1011 March 2016 
02 
BIT,DURG, Sponsored by CCOST, Raipur 
Ph.D. Supervision (Awarded/Ongoing):
S. No. 
Scholar’s Name 
Year of Regn. 
Status(Ongoing/Completed) 
1 
Sanjay Sharma 
1997 
Completed 
2 
Shilpi Dewangan 
2006 
Completed 
3 
Sandip Shrivastava 
2006 
Completed 
4 
M D Pandey 
2009 
Completed 
5 
C Ramesh Kumar 
2009 
Completed 
6 
Anil Kumar Dubey 
2012 
Completed 
7 
Amit Shrivastava 
2012 
Completed 
8 
T. Usha 
2013 
Thesis Submitted 
9 
Nutan Singh 
2013 
Thesis Submitted 
10 
K K Pandey 
2013 
Ongoing 
Invited talk/ Guest lecture delivered
No. 
Title of paper presented

Title of conference/seminar etc.

Date of event

Organized by

Whether International/National/State/ Regional/University or College level 
1. 
Nonlinear parametric resonance of Cable connected Satellite system under effects of Solar radiation pressure and Magnetic field of the Earth 
73rd Annual Conference of IMA 
2730 Dec 2007 
Indian Mathematical Society 

2. 
Invited talk on Environmental Optimization 
Staff Development Program on Environmental Monitoring for Sustainable Development 
28 Nov12 Dec 2008 
Department of Civil Engineering , BIT, DURG 
AICTE, New Delhi 
Books Authored
S. No. 
Name of Book 
Coauthors 
Publisher 
Year of Publication 
1 
Nonlinear effects on extensible cable connected satellite system 
Shilpi Dewangan 
Scholar’s Press 
2014 
2 
Photo gravitational elliptical restricted three body problem 
C Ramesh Kumar 
Scholar’s Press 
2014 
3 
Some nonlinear effect on the motion and stability of satellite system 
M D Pandey 
Lambert Academic Publication 
2014 
4 
Study of Fixed point theorems in TVS and application to fractal 
A K Dubey 
Lambert Academic Publication 
2014 
Research Project Undertaken/Going on
S. No. 
Name of Research Project 
CoInvestigator 
Funding Agency/Amount 
Status 
1 
Stability of the oblate infinitesimal in the elliptic restricted three body problem with oblate radiating primaries 

CCOST 
Ongoing 
Membership
List of National/International Workshop/STTP/FDP Attended :

Title 
No. of Days 
Organization 
Duration 

Functional Analysis & Metric Spaces 
21 days 
Jabalpur University 
