Library. N.W. Bldg

MAY 17 1965

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DATA REDUCTION FOR STABLE AURORAL RED ARCS

OBSERVED AT RAPID CITY, SOUTH DAKOTA

J. E. Cruz, Robert Davies, L. K. Droppleman, E. Marovich,

L. R. Megill, M. H. Rees, Linda Reisbeck, and F. E. Roach

U. S. DEPARTMENT OF COMMERCE

NATIONAL BUREAU OF STANDARDS
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NATIONAL BUREAU OF STANDARDS

technical <Tiote 30S

Issued May 3, 1965

DATA REDUCTION FOR STABLE AURORAL RED ARCS

OBSERVED AT RAPID CITY, SOUTH DAKOTA

J. E. Cruz, Robert Davies, L. K. Droppleman, E. Marovich,

L. R. Megill, M. H. Rees, Linda Reisbeck, and F. E. Roach

National Bureau of Standards

Boulder, Colorado

NBS Technical Notes are designed to supplement the Bureau's regular publications program. They provide a means for making available scientific data that are of transient or limited interest. Technical Notes may be

listed or referred to in the open literature.

For sale by the Superintendent of Documents, U.S. Government Printing Office Washington D.C. 20402

Price: 50 cents

TABLE OF CONTENTS

Abstract 1

Introduction 1

Data Reduction k

"Mapping" of the Data 6

Calibration 7

Summary 8

Table I 9

Table II 10

Appendix I 11

References 13

Figure Captions ik

Figure 1 15

Figure 2 l6

Description of Maps 17

Maps l8

in

DATA. REDUCTION FOR STABLE AURORAL RED ARCS OBSERVED AT

RAPID CITY, SOUTH DAKOTA

-x- J. E. Cruz, Robert Davies , L. K. Droppleman, E. Marovich, +

L. R. Megill, M. H. Rees , Linda Reisbeck, and F. E. Roach

All sky photometric surveys in the 6300 A [Ol]

radiation obtained during the International Geophysical Year at Rapid City, South Dakota have been

reduced. The analysis is described and the results

for the night of September 16/17, 1958 are printed as isophote maps. These maps clearly show the presence of an arc and can be, therefore, a useful tool

for further investigations of the stable auroral red

arc.

INTRODUCTION

During the International Geophysical Year an airglow observing

station was operated near Rapid City, South Dakota (Lat. ^°35'20",

Long. 103°l8'50"). A number of observations were made of stable auroral

red arcs (hereafter referred to as SAR-arcs^) of the type first described

by Barbier [1958]. Roach and Marovich [i960] have described the detailed morphology of a SAR-arc which occurred on October 22/23, 1958,

University of Wisconsin, Department of Physics

University of Colorado, Department of Physics

8 This abbreviation is used in Geomagnetism , edited by S. Matsushita and

W. H. Campbell, 1965.
and Marovich and Roach [1963] have analyzed the latitudinal distribution

of 23 SAR-arcs observed at Rapid City.

A review of the phenomenon has been given by Roach and Roach

[1963]; some reasonably well established properties of these arcs

are:

1. They occur equatorward of the visual aurorae during a period

of increased magnetic activity. From the reported observations,

they appear to be oriented along parallels of geomagnetic latitude

and occur in both hemispheres.

2. The extent ranges in height from 300-750 km and in

latitude up to ^.5°.

3. There seems to be a tendency for the intensity of a SAR-arc to

remain quite stable for many hours [Rees, 1961], in direct contrast to the rapid fluctuations characteristic of visible

aurorae

k. They have been observed at as high a geomagnetic latitude as

59° and as low as kl° . There is some evidence that SAR-arcs occur

simultaneously at least halfway around the globe.

5. Compared to normal nighttime conditions, the electron

density within the arc is less and the height of the maximum

density is greater.

6. The spectral composition consists predominantly of the 63OO636^ A doublet of [oi].

-2-
King and Roach [1961] explored the possibility that the excitation

might be due to an enhancement of the rate of a recombination process which ii

presumed to be the principal excitation mechanism for the nighttime red

airglow. The reactions concerned are:

+

+ N

2 - N0

+

+ N (1)

and

N0

+ + e - N + 0(

1

D). (2)

The first of these reactions is the slower at altitudes of interest here

so that the intensity of emission is proportional to the product of

and N it was found, however, that this would require an increase in

Ng density by a factor of nearly 500 to explain the observed intensity.

More recently several alternative possibilities have been discussed in the literature by Megill, Rees, and Droppleman [1963], Megill

and Carleton [1964], Dalgarno [196W, and Cole [1965]. The hypotheses

discussed in these papers have in common the requirement of excitation

by electron collisions to excite the 0( D) but differ on the method

by which they propose to get the energy into the electrons. They all

have an implicit assumption that the arc is due to an interaction

between the magnetosphere and the ionosphere.

The SAR-arc phenomenon is of interest then., not only in itself, but

as a possible clue to mechanisms operative during magnetic storms. The

data available in the Rapid City observations have not been thoroughly

-3-
exploited. As a result the data for 23 nights on which the SAR-arc

observed have been partially reduced and put on magnetic tape so that

further investigations can be carried out with a minimum of effort.

Table I gives a list of the nights for which data are available. ~ It is

the purpose of this note to describe the preliminary operations which

have been performed on these data in placing them on tape and to give

in greater detail the behavior of a particularly good example of the

arc on September 16/17 , 1958. These further data involve the automatic

"mapping" of the intensity in a manner which may prove useful to other

investigators.

DATA SEDUCTION

The original data are in the form of strip chart records. Records were obtained using a birefringent photometer as described by

Megill [1959]. The data were obtained in five almucantar sweeps

covering approximately the whole sky in five minutes for each of the three

spectral lines observed. An entire sky survey was obtained every 15

minutes. The field of view of the instrument was ^°.

The data for each degree in azimuth at zenith distances of 80°

,

15° , 70°, 60°, k0° , and the zenith were first placed on paper tape by

means of a semi-automatic reader. During this operation care was taken

to exclude doubtful data due to the presence of clouds or excessive

Sunlight. An approximate correction was made for scattering and

extinction in the lower atmosphere using the equation

I =R[I-Sc(z)l ] e Tm(z)

(3)

c

x ' avg

-k-
where I is the record reading, z is the zenith angle, Sc(z) is the

correction for scattering, t is the extinction coefficient and m(z)

is the air mass. (The air mass is unity in the zenith at sea level).

The values of Sc(z), e 'used are given in Table II. The constant

E is a calibration coefficient dependent on the instrument and was used

to convert the intensities to Rayleighs. The average intensity is defined

by:

I = ±2 [I - I Sc(z)] eTm (z) /V(z) (10 avg n o ' x ' x '

where n indicates the total number of readings in the survey, I is the

zenith intensity, and V is the van Rhijn function given by

"Vl - [E/

(E +h) ] 2 sin2 z (5)

where E is the radius of the earth and h is the height of the emitting

layer above the earth's surface (taken as ^00 km). What this process

does, in effect, is to use the zenith intensity as a first approximation

to the average intensity. A second approximation is then obtained using

the deduced average. It should be noted that the correction applies

strictly to a uniform intensity so that the application of Eq. (3) when

an arc is in the sky represents an approximation even if I is

accurately known. Using I in performing the scattering calculations

gives results which are reliable to two digits within the region of the arc.

There appears to be a tendency for this term to overcorrect in the region

with no enhancement and the numbers are much less reliable. A more detailed

discussion of the calibration technique is given in the section on calibration.

-5-
"MAPPING" OF THE DATA

In order to portray the data an automatic mapping program has "been

prepared. Examples of the output of this program are shown in the maps

included with this note. This program takes the data from the tape

prepared as described above and makes a first order correction for the

van Rhijn factor by assuming a constant height layer at 400 km. In order

to produce a "map" each recorded point is assigned a coordinate value

in a polar coordinate system. A transformation from the polar coordinate

values to the map matrix is made by assigning to each possible print

location an intensity found by a linear interpolation between the

two nearest intensities on the radium of the polar plot. All but the

off scale values are normalized to 10.25 "the highest printed value. As

only one digit per location can be printed, values between 9-75 and

10.25 are printed as 0; values between 8.75 and 9.25 are printed as a

9, etc. The intermediate values as well as values below .75 are left

"blank. Where data were not obtained an X is printed and where the records

were off scale a "+" is printed. The limit of resolution of this system

varies from 1 part in kO at the high intensities to 1 part in k at the

lower intensities. This program allows the researcher to obtain a map

giving a picture of the sky intensity without hand plotting. The night

of September 16/YJ , 1958, has been plotted in this manner and included with

this note. Additional data giving the time the survey was taken, an

average intensity (AVG INT), and the zenith intensity (ZEN INT) in

units of Rayleighs are printed at the side of the map. NORM, when

multiplied by the digit of a particular spot on the map, gives the

intensity in Rayleighs for that location (remembering zero =10).

-6-
A map relating the distance on the earth's surface to the

corresponding zenith angle is given in Figure 1. The height of the

arc was assumed to "be ^00 km throughout the analysis. As one would

expect, the height of the SAR-arc greatly affects the distances at the

large zenith angles. Radial distances for various heights have been

calculated as a function of the zenith angle and are shown in Figure 2.

CALIBRATION

o The absolute calibration in the 6300 A radiation rests on the

average calibration obtained for the [oi] (X5577) radiation throughout

the period of operation of the Rapid City photometer. Beginning with

the calibration for A-5577 a factor was applied which considered l)

the different photo -multiplier tube response, 2) the interference prefilter characteristics, and 3) the birefringent filter characteristics.

The A.5577 calibration in turn is based on (a) intercalibration with

the Fritz Peak photometer by triangulation on the same patch of night

sky, and (b) inter-calibration with the Fritz Peak instruments by

means of an auxiliary portable photometer transported between the

two stations on several occasions. The calibration of the Fritz Peak

instruments, at the time, was based on star crossings. The precision

(internal consistency) of the data is within 10$. The absolute

calibration is probably not better than a factor of 2. For a discussion

of accuracy in such photometric observations the reader is referred to

Roach and Smith [196^-] and Smith and Alexander [1963].

-7-
SUMMARY

Preliminary operations performed to make the I.G.Y. data on

Stable Auroral Red Arcs available for quick usage are described. These

data are available in the form described to researchers who wish to

use them. In addition, if it should be desired, the program which will

map the data can be made available. The data are on magnetic tape

in binary format. The proper Fortran call and end of record instructions

are given in Appendix I.

Two of the co-authors, Davies and Rees, were supported in this

investigation by NSF Grant GP620.

-8-
TABLE I

1957 1958

Nov. 6/7 Jan. 16/17

Nov. 8/9 Jan. 17/18

Nov. 9/10 Mar. Il/l2

Nov. lO/ll Apr. 29/30

Nov. 25/26 May 27/28

Nov. 27/28 June 9/l0

Nov. 30/Dec. 1 June 28/29

Dec. lO/ll Sept. 5/6

Dec. 20/21 *Sept. 16/17

Oct. 22/23

Oct. 23/24

Oct. 25/26

Dec. 2/3

Dec. 17/l8

* Data used in this publication.

9-
TABLE II

Values for 6300 A. [Megill, 1959]

Zenith

angle (z) Sc(z) e *

'

.059 1.095

ko .080 1. 126

60 .12^ 1.200

TO .178 1.290

75 .227 l.kl6

80 .333 1.665

-10-
APPENDIX I

There are two master data tapes - one for each year of observations.

The nights recorded on the tapes are in the order listed in Table I. By

using two tapes, the computer time spent in searching for a particular

night is decreased considerably. It should be noted that the data have

been written on the tapes in high density. As they are binary tapes, no

format statement is necessary. The command to recall this information is:

READ TAPE N, K, NSTA, NCLR, NYR, MO, NDAY, NH, KM,

RAVG, ZEN, EN, (jARC(l,J), 1*1, 360), J = 1,5^

where

N - is the designated tape unit.

K - a fixed point number which is either 32000 or zero. When a

zero occurs, it signifies the end of the tape. Unlike an end of

file, it is possible for the user to control the tape at this point

(i.e., backspace and write, exit, etc.).

NSTA - this is a code used for identifying the station which took

the data. The number assigned the Eapid City Observation Station

was k. This number is arbitrary and may be changed without

affecting the results of the mapping program.

o o NCLE - As there were three lines being observed (5577 A > 5893 A,

o and the 63OO A), it was necessary to identify the wavelength being

o analyzed. In this instance the red line (6300 A) was assigned the

o fixed point number 3. Although only the 6300 A line is presently

on the tape, the program is set up to include the green line and

the sodium line. In order to get the correct printout for line

-11-
identification, the number 3 must be used for the red line.

NYR, MO, NBA.Y - three fixed point values which refer to the year,

month, and the day respectively.

NH, NM - both of these values are fixed point and represent the

time of the survey in hours and minutes.

RAVG - the average intensity of the sky after corrections for

extinction and scattering have been made.

ZEN - the zenith intensity averaged over the "whole zenith sweep.

EN - a sensitivity reading taken from the instrument at Rapid City.

This was for information only and not used in the calculations for

mapping.

ARC(l,j) - this array contains the values of survey for every degree

of azimuth (I = 1,360) for each zenith angle value (j = 1,5). The

zenith angles correspond to the "J's" as follows:

J Zen. Angle

1 80

2 75

3 TO

k 6o

5 ko

Off scale values appear as 2 x 10 on the tape and are printed as

+'s. Unreliable values appear as -1000 on the tape and are printed as x's,

The original program was written for the IBM 7°90 computer.

12-
REFERENCES

Barbier, D. , Ann. Geophys. Ik, 33^ (1958)

Cole, K. , J. Geophys. Res. (in press, April 1965 issue).

Dalgarno, A., Planet. Space Science (in press).

King, G. A. M. , and F. E. Roach, J. Research NBS, 65D, 129 (1961).

Marovich, E. , and F. E. Roach, J. Geophys. Res. 68, 1885 (1963).

Megill, L. R. , Ph.D. Thesis, Univ. of Colorado (1959).

Megill, L. R. , M. H. Rees, and L. K. Droppleman, Planet. Space

Science, 11, k5 (1963).

Megill, L. R. , and N. P. Carleton, J. Geophys. Res., 69, 101 (196^).

Rees, M. H. , Planet. Space Science, 8, 197 (1961)

Roach, F. E., and E, Marovich, J. Research NBS 6kD, 205, (i960).

Roach, F. E. , and J. R. Roach, Planet. Space Science, 11, 523 (1963).

Roach, F. E. , and L. S. Smith, MBS Technical Note Zlk (196*0.

Smith, L. L. and R. B. Alexander, IQSY Instruction Manual No. 5 (1963)

13-
FIGURE CAPTIONS

Figure 1. A map relating the distance on the earth's surface

to the corresponding zenith angle assuming the height of

emission is ij-00 km.

Figure 2. Radial distances along the earth's surface for various

heights as a function of the zenith angle.

-Ik-
ZENITH RADIAL DISTANCE

ANGLE IN km

X STATION —

1 40 310

2 60 603

3 70 873

4 75 1070

5 80 1340

15
319NV H1IN3Z

16
DESCRIPTION OF MAPS

Looking at the map with the legend in the upper left-hand corner,

north is at the top of the paper and east is to the right. The observing

station is at the center of the circle. Zenith angles from the station

and the corresponding distances on the earth's surface may be calculated as

in Figure 1.

The arc is characterized by a line of higher intensities from

«320° to %L00° (0° at N and 90° at E). On either side of this line

the intensities are lower by a substantial margin. The aurora (first

quadrant) is clearly discernible by the "+'s" as the intensities are

considerably greater than those of the arc.

-17-

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