Smart Mariner Edition

CEL NAV

Oral-Navigation (FUNCTION –1)

The following questions came from WhatsApp group where candidates posts the question right after they had finished their oral exam.
  • Declination of a celestial body is the arc of a celestial meridian or the angle at the centre of the Earth contained between the Equinoctial and the parallel of the declination through the body.
  • Sidereal Hour Angle(SHA) of a celestial body is the arc of the Equinoctial or the angle at the celestial pole contained between the celestial meridian of the First Point of Aeries and that through that body, measured westward from Aeries.
  • Right Ascension(RA) of a celestial body is the arc of the Equinoctial or the angle at the celestial pole contained between the celestial meridian of the First Point of Aeries and that through that body, measured eastward from Aeries.
  • Greenwich Hour Angle(GHA) of a celestial body is the arc of the Equinoctial or the angle at the celestial pole contained between the celestial meridian of the Greenwich and that of the body, measured westward from Greenwich.
  • Local Hour Angle(LHA) of a celestial body is the arc of the Equinoctial or the angle at the celestial pole contained between the observer’s celestial meridian and the celestial meridian through that body, measured westward from Observer.
  • The Azimuth of a celestial body is the arc of the observer’s rational horizon or the angle at his zenith contained between the observer’s celestial meridian and the vertical circle through that body.
  • The Amplitude of a celestial body is the arc of the observer’s rational horizon or the angle at his zenith contained between the observer’s prime vertical and the vertical circle through that body, when the body is at observer’s rational horizon i.e. at sunrise or sunset.
  • The  International Date Line(IDL) is an imaginary line running between the South Pole and the North Pole defining the boundary between one day & next.
  • It passes through the Pacific Ocean roughly following the 180° line of longitude and it deviates little to pass around some territories and island groups.
  • It is located halfway around the world from the prime meridian (0° longitude line in Greenwich, England).

It is necessary because 

  • We know that, if a ship proceeds eastward, she would have to advance her clock by one hour for every 15° of d’long & if a ship is proceeding westward, she would have to retard her clock by one hour for every 15° of d’long, to indicate the correct LMT.
  • Let us consider, a ship navigating eastward making a d’long of 12° per day. She would return to her original meridian in 360°/12=30 days. During this period, she would have to advance her clock by one hour for every 15° of d’long I.e a total of 360°/15 = 24 hours, or one day. That means, by her calendar, she would return to her original meridian in 31 days.
  • Similarly, a ship navigating westward making a d’long of 12° per day. She would return to her original meridian in 360°/12=30 days. During this period, she would have to retard her clock by one hour for every 15° of d’long I.e a total of 360°/15 = 24 hours, or one day. That means, by her calendar, she would return to her original meridian in 29 days.
  • Thus, in compare with the date at shore station on original meridian, the date of the ship which sailed eastward is one day ahead and the date of the ship with sailed westward is one day behind.
  • To avoid this anamalous situation, the Date Line has been introduced by International agreement.
  • To avoid this,
    Ships crossing the IDL, on an easterly course have to retard their date by one day & ships crossing the IDL, on a westerly course, have to advance their date by one day.

Longitude is the arc of the Equator or the angle at the poles contained between the Prime meridian and the meridian through that place.

It is  measured from 0° to 180°, named East or West.

Coordinated universal time also known as Greenwich Mean time(GMT)

It is the standard time used to set all the time zones around the world.

  • True North is the direction which points towards the geographic north pole. It is a fixed point on the globe.
  • Magnetic North is the direction that a compass needle points as it aligns with the Earth’s magnetic field.
  • Long by chron method
  • Intercept method
  • Compass error by azimuth
  • Compass error by amplitude
  • Latitude from polaris
  • Latitude by mer. pass
  • Longitude by mer. pass
  • Staggered calculation
  • Firstly we must know our DR position.
  • In the morning when the sun is above the visible horizon, measure the sextant altitude of the sun.
  • The time of sight need to be noted down precisely to the seconds.
  • Calculate the observed longitude by Long by Chron methods. We get Obs long & 1st PL.
  • Then we use sun’s mer. pass, by measuring the sextant altitude of the sun when it is on observer’s meridian i.e directly above the head of the observer.
  • Calculate the observed latitude and 2nd position line.
  • Transfer the 1st PL & where it intersect will be the fix position.

At meridian pass time.

  • Total correction is the combined correction for the various errors:-  

           –> Refraction

           –> Semi-diameter

           –> Parallax in altitude

  • Total correction tables for various celestial body are available on the cover page of Nautical Alamanac.

11.a) (i) Adjustable errors: Those are:-

                        (a)  Error of perpendicularity: is produced by the index glass not being perpendicular to the plane of instrument.

                        (b) Side error: is produced by the horizon glass not being perpendicular to the plane of instrument.

                         (c) Index error: is produced when the index glass and horizon glass not being parallal to each other, when the index bar is at zero.

                         (d) Error of collimation: is produced by axis of telescope not being perpendicular to the plane of instrument.

             (ii) Non-adujustable errors: Those are:-

                          (a) Graduation error

                          (b) Shade error

                          (c) Centering error

                          (d) Optical error

 

11.b)   To find index error:-

  • Clamp the index bar at zero.
  • View the horizon glass through the telescope. If the true horizon and it’s reflection appear in the same line, Index error is zero.
  • If they appear displaced vertically, turn the micrometer till they are in same line.
  • The reading on the micrometer is the index error.
  • If the reading is more than zero, it is “ON TH ARC” and if the reading is less than zero, it is “OFF THE ARC”.

          To eliminate the index error:- 

  • Clamp the index bar at zero.
  • Look through the telescope, turn the third adjustment screw, till the true horizon & it’s reflection appears in alignment.

12.a)  To obtain chronometer error:-

                Compare the time signal obtained from:

                     –> satellite i.e GPS

                     –> radio time signal (radio stations broadcast the time in both audible & equipment readable time code which is used as a reference for radio clock) 


12.b)   To correct chronometer by radio time signal:-

  • The difference between GMT obtained from radio time signal and chronometer time is checked.
  • Any difference in that is known as chronometer error.
  • Which is then applied as a correction to the chronometer reading.

        [ If the chronometer time is ahead of GMT, error is FAST   &    If the chronometer time is behind of GMT, error is SLOW]

13.a) Celestial or Rational Horizon:-

           The observer’s rational horizon is a great circle on the celestial sphere at which every point is 90° away from the obsever’s zenith.

13.b) Visible or Sensible Horizon:-

  • The line at which the sky and the Earth(sea level) appears to meet.
  • The horizon which is actually observed at sea.
  • This horizon is used as the refrence for celestial observation like sextant altitude or establishing of sunrise & sunset timings.
  • The radius of visible horizon increases as the height of eye increases.

14.a) What is time zone?

Ans:- It is the geographic region within which same standard time is used. It follows the boundaries between countries instead of strictly following longitude.

14.b) Different types of time zone?

Ans:- The world is divided into 24 time zones.

14.c) What is the width of each time zone?

Ans:- 15° wide

           But some are stretched in various way to accomodate political boundaries.

 

Ans:- YES,but can be used for sun & stars only.

           The alamanac can not be used for the moon or planet. 

          If yes, then how?

          For SUN:- Take the GHA & dec for the same date but for the time 5hr 48min earlier from the time of observation. 

                                Add 87° to the GHA obtained.                             

          For STARS:- Take the GHA & dec for the same date and the same time. 

                                     Substract 15.1min to the GHA obtained.                     

                                     Substract 0.8min from the SHA of star.

  • Star twinkles and the planet does not.
  • Star does not rise or set/ Planet rise in the East & set in the West.
  • Star appears white/ Planets have some type of coloration.
  • Stars are less bright/ Planets are much brighter than many stars.
  • Use star chart finder to distinguish. 
  • From its magnitude, how bright it appears.
  • The lower ones are the bright stars.
  • Amplitude is taken when the body is exactly on the horizon.
  • When observing the amplitude of a body, its center should be on the rational horizon i.e True alt is 0° & zenith distance is 90°.
  • Take the bearing.
  • Obtain GMT & declination.
  • Calculate amplitude by formula SIN Amp= sin dec × sec lat.

19.a) Why Long by chron is preferred in the morning?

Ans:-  In morning, altitude is changing quite fast as compared to azimuth; and in the formula of intercept the fast change of altitude can cause error in calculation of TZD, hence error in intercept.

Whereas in Long by Chron, the true altitude is above the fraction bar in formula, and hence a small error does not affect the accuracy of the fix.


19.b) Why intercept is preferred in evening?

  • It is preferred when plotting star sights taken during twilight.
  • For fixing the position from star sight, we require 2-3 observation from different stars.
  • The intercept method is very convenient when plotting two or more PL.
  • It is named as sextant because its arc is 1/6th of a circle i.e. 60°.
  • It has a principle of double reflection hence it can measures angle upto 120°.