SECURITIES AND EXCHANGE COMMISSION
                              Washington, DC 20549

                                  SCHEDULE 13G
                                 (Rule 13d-102)

           INFORMATION TO BE INCLUDED IN STATEMENTS FILED PURSUANT TO
            RULES 13d-1(b), (c) AND (d) AND AMENDMENTS THERETO FILED
                            PURSUANT TO RULE 13d-2(b)




                                 ARCH COAL, INC.
--------------------------------------------------------------------------------
                                (Name of Issuer)

                Shares of Common Stock, par value $.01 per share
--------------------------------------------------------------------------------
                         (Title of Class of Securities)

                                    039380100
--------------------------------------------------------------------------------
                                 (CUSIP Number)

                                  July 22, 2002
--------------------------------------------------------------------------------
             (Date of Event Which Requires Filing of this Statement)


Check the appropriate box to designate the rule pursuant to which this Schedule
is filed:

     [ ]          Rule 13d-1(b)
     [X]          Rule 13d-1(c)
     [ ]          Rule 13d-1(d)



                                       1

---------------------------                                --------------------
CUSIP No. 039380100                   13G
---------------------------                                --------------------

--------------------------------------------------------------------------------
      1        NAME OF REPORTING PERSONS
               I.R.S. IDENTIFICATION NO. OF ABOVE PERSONS (ENTITIES ONLY)

               Greenlight Capital, L.L.C.
--------------------------------------------------------------------------------
      2        CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*        (a)  [ ]
                                                                        (b)  [ ]
--------------------------------------------------------------------------------
      3        SEC USE ONLY

--------------------------------------------------------------------------------
      4        CITIZENSHIP OR PLACE OF ORGANIZATION

               Delaware
--------------------------------------------------------------------------------
                                5        SOLE VOTING POWER

                                         2,851,100
                              -------------------------------------------------
        NUMBER OF               6        SHARED VOTING POWER
         SHARES
      BENEFICIALLY                       0
        OWNED BY              -------------------------------------------------
          EACH                  7        SOLE DISPOSITIVE POWER
       REPORTING
      PERSON WITH                        2,851,100
                              --------------------------------------------------
                                8        SHARED DISPOSITIVE POWER

                                         0
--------------------------------------------------------------------------------
      9        AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

               2,851,100
--------------------------------------------------------------------------------
     10        CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN
               SHARES*                                                       [ ]

--------------------------------------------------------------------------------
     11        PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

               5.4% **
--------------------------------------------------------------------------------
     12        TYPE OF REPORTING PERSON*

               CO
--------------------------------------------------------------------------------

         *  SEE INSTRUCTIONS BEFORE FILLING OUT
         ** SEE ITEM 4(b).


                                       2


---------------------------                                --------------------
CUSIP No. 039380100                   13G
---------------------------                                --------------------


--------------------------------------------------------------------------------
      1        NAME OF REPORTING PERSONS
               I.R.S. IDENTIFICATION NO. OF ABOVE PERSONS (ENTITIES ONLY)

               David Einhorn
--------------------------------------------------------------------------------
      2        CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*        (a)  [ ]
                                                                        (b)  [ ]

--------------------------------------------------------------------------------
      3        SEC USE ONLY

--------------------------------------------------------------------------------
      4        CITIZENSHIP OR PLACE OF ORGANIZATION

               U.S. Citizen
--------------------------------------------------------------------------------
                                5        SOLE VOTING POWER

                                         2,851,100
                              -------------------------------------------------
       NUMBER OF                6        SHARED VOTING POWER
         SHARES
      BENEFICIALLY                       0
        OWNED BY              -------------------------------------------------
          EACH                  7        SOLE DISPOSITIVE POWER
       REPORTING
      PERSON WITH                        2,851,100
                              --------------------------------------------------
                                8        SHARED DISPOSITIVE POWER

                                         0
--------------------------------------------------------------------------------
      9        AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

               2,851,100
--------------------------------------------------------------------------------
     10        CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN
               SHARES*                                                       [ ]

--------------------------------------------------------------------------------
     11        PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

               5.4% **
--------------------------------------------------------------------------------
     12        TYPE OF REPORTING PERSON*

               IN
--------------------------------------------------------------------------------

         *  SEE INSTRUCTIONS BEFORE FILLING OUT
         ** SEE ITEM 4(b).



                                       3



---------------------------                                --------------------
CUSIP No. 039380100                   13G
---------------------------                                --------------------


--------------------------------------------------------------------------------
      1        NAME OF REPORTING PERSONS
               I.R.S. IDENTIFICATION NO. OF ABOVE PERSONS (ENTITIES ONLY)

               Jeffrey A. Keswin
--------------------------------------------------------------------------------
      2        CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*        (a)  [ ]
                                                                        (b)  [ ]
--------------------------------------------------------------------------------
      3        SEC USE ONLY

--------------------------------------------------------------------------------
      4        CITIZENSHIP OR PLACE OF ORGANIZATION

               U.S. Citizen
--------------------------------------------------------------------------------
                                5        SOLE VOTING POWER

                                         2,851,100
                              -------------------------------------------------
       NUMBER OF                6        SHARED VOTING POWER
         SHARES
      BENEFICIALLY                       0
        OWNED BY              -------------------------------------------------
          EACH                  7        SOLE DISPOSITIVE POWER
       REPORTING
      PERSON WITH                        2,851,100
                              -------------------------------------------------
                                8        SHARED DISPOSITIVE POWER

                                         0
--------------------------------------------------------------------------------
      9        AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

               2,851,100
--------------------------------------------------------------------------------
     10        CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN
               SHARES*                                                       [ ]

--------------------------------------------------------------------------------
     11        PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

               5.4% **
--------------------------------------------------------------------------------
     12        TYPE OF REPORTING PERSON*

               IN
--------------------------------------------------------------------------------


         *  SEE INSTRUCTIONS BEFORE FILLING OUT
         ** SEE ITEM 4(b).


                                       4





                                  SCHEDULE 13G

         This Schedule 13G (the "Schedule 13G") is being filed on behalf of
Greenlight Capital, L.L.C., a Delaware limited liability company ("Greenlight"),
and Mr. David Einhorn and Mr. Jeffrey A. Keswin, the principals of Greenlight,
relating to shares of common stock of Arch Coal, Inc., a Delaware corporation
(the "Issuer").

         This Schedule 13G relates to shares of Common Stock of the Issuer
purchased by Greenlight for the account of (i) Greenlight Capital, L.P.
("Greenlight Fund"), of which Greenlight is the general partner, (ii) Greenlight
Capital Qualified, L.P. ("Greenlight Qualified"), of which Greenlight is the
general partner and (iii) Greenlight Capital Offshore, Ltd. ("Greenlight
Offshore"), to which Greenlight acts as investment advisor.

ITEM 1(a)         NAME OF ISSUER.

                  Arch Coal, Inc.

ITEM 1(b)         ADDRESS OF ISSUER'S PRINCIPAL EXECUTIVE OFFICES.

                  One CityPlace Drive, Suite 300
                  St. Louis, Missouri 63141

ITEM 2(a)         NAME OF PERSON FILING.

                  Greenlight Capital, L.L.C. ("Greenlight"), David Einhorn and
                  Jeffrey A. Keswin

ITEM 2(b)         ADDRESS OF PRINCIPAL BUSINESS OFFICE, OR, IF NONE, RESIDENCE.

                  420 Lexington Ave., Suite 1740
                  New York, New York  10170

ITEM 2(c)         CITIZENSHIP OR PLACE OF ORGANIZATION.

                  Greenlight is a limited liability company organized under the
                  laws of the State of Delaware. David Einhorn and Jeffrey A.
                  Keswin are the principals of Greenlight and are United States
                  citizens.

ITEM 2(d)         TITLE OF CLASS OF SECURITIES.

                  Common Stock, par value $0.01 per share (the "Common Stock").

ITEM 2(e)         CUSIP NUMBER.

                  039380100



                                       5


ITEM 3            REPORTING PERSON.

                  Inapplicable.

ITEM 4            OWNERSHIP.

                  (a)      Greenlight and Messrs. Einhorn and Keswin are the
                           beneficial owners of 2,851,100 shares of Common
                           Stock.

                  (b)      Greenlight and Messrs. Einhorn and Keswin are the
                           beneficial owners of 5.4% of the outstanding shares
                           of Common Stock. This percentage is determined by
                           dividing 2,851,100 by 52,376,484, the number of
                           shares of Common Stock issued and outstanding as of
                           May 1, 2002, as reported in the Issuer's quarterly
                           report on Form 10-Q filed May 13, 2002.

                  (c)      Greenlight has the sole power to vote and dispose of
                           the 2,851,100 shares of Common Stock beneficially
                           owned by it. As the principals of Greenlight, Messrs.
                           Einhorn and Keswin may direct the vote and
                           disposition of the 2,851,100 shares of Common Stock
                           beneficially owned by Greenlight.

ITEM 5            OWNERSHIP OF FIVE PERCENT OR LESS OF A CLASS.

                  Inapplicable.

ITEM 6            OWNERSHIP OF MORE THAN FIVE PERCENT ON BEHALF OF ANOTHER
                  PERSON.

                  Inapplicable.

ITEM 7            IDENTIFICATION AND CLASSIFICATION OF THE SUBSIDIARY WHICH
                  ACQUIRED THE SECURITY BEING REPORTED ON BY THE PARENT HOLDING
                  COMPANY.

                  Inapplicable.

ITEM 8            IDENTIFICATION AND CLASSIFICATION OF MEMBERS OF THE GROUP.

                  Inapplicable.

ITEM 9            NOTICE OF DISSOLUTION OF GROUP.

                  Inapplicable.

ITEM 10           CERTIFICATION.

                  By signing below I certify that, to the best of my knowledge
                  and belief, the securities referred to above were not acquired
                  and are not held for the purpose of or with the effect of
                  changing or influencing the control of the issuer of the
                  securities and were not acquired and are not held in
                  connection with or as a participant in any transaction having
                  that purpose or effect.


                                       6


EXHIBITS          EXHIBIT 1

                  Joint Filing Agreement dated August 13, 2002, between
                  Greenlight, David Einhorn and Jeffrey A. Keswin.


                                       7




                                    SIGNATURE

         After reasonable inquiry and to the best of my knowledge and belief, I
certify that the information set forth in this statement is true, complete and
correct.

         Date:  August 13, 2002

                                     Greenlight Capital, L.L.C.


                                     By:      /s/ JEFFREY A. KESWIN
                                              ---------------------------------
                                              JEFFREY A. KESWIN, Managing Member



                                     /s/ DAVID EINHORN
                                     -------------------------------------------
                                     David Einhorn

                                     /s/ JEFFREY A. KESWIN
                                     -------------------------------------------
                                     Jeffrey A. Keswin



                                       8

                                    EXHIBIT 1

                             JOINT FILING AGREEMENT

         In accordance with Rule 13d-1(k) under the Securities Exchange Act of
1934, as amended, the undersigned agree to the joint filing on behalf of each of
them of a Statement on Schedule 13G (including any and all amendments thereto)
with respect to the Common Stock, par value $.01 per share, of Arch Coal, Inc.,
and further agree that this Joint Filing Agreement shall be included as an
Exhibit to such joint filings.

         The undersigned further agree that each party hereto is responsible for
the timely filing of such Statement on Schedule 13G and any amendments thereto,
and for the accuracy and completeness of the information concerning such party
contained therein; provided, however, that no party is responsible for the
accuracy or completeness of the information concerning any other party, unless
such party knows or has reason to believe that such information is inaccurate.

         This Joint Filing Agreement may be signed in counterparts with the same
effect as if the signature on each counterpart were upon the same instrument.

         IN WITNESS WHEREOF, the undersigned have executed this Agreement as of
August 13, 2002.

                                  Greenlight Capital, L.L.C.


                                  By:  /s/ JEFFREY A. KESWIN
                                       ----------------------------------
                                       JEFFREY A. KESWIN, Managing Member



                                  /s/ DAVID EINHORN
                                  ---------------------------------------
                                  David Einhorn

                                  /s/ JEFFREY A. KESWIN
                                  ---------------------------------------
                                  Jeffrey A. Keswin


                                        9