UNITED STATES
                     SECURITIES AND EXCHANGE COMMISSION
                              Washington, D.C.

                                SCHEDULE 13G

                 UNDER THE SECURITIES EXCHANGE ACT OF 1934
                             (AMENDMENT NO. 1)[1]

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

                                COMMON STOCK
-------------------------------------------------------------------------------
                       (Title of Class of Securities)

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

                             DECEMBER 31, 2004
                  ----------------------------------------
          (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] The remainder of this cover page shall be filled out for a
       reporting person's initial filing on this form with respect to
       the subject class of securities, and for any subsequent amendment
       containing information which would alter the disclosures provided
       in a prior cover page.

       The information required in the remainder of this cover page
       shall not be deemed to be "filed" for the purpose of Section 18
       of the Securities Exchange Act of 1934, as amended (the "Act") or
       otherwise subject to the liabilities of that section of the Act
       but shall be subject to all other provisions of the Act (however,
       see the Notes).



                                SCHEDULE 13G

CUSIP NO.   039380100                                   PAGE   2  OF  11 PAGES

    1   NAME OF REPORTING PERSON
        /I.R.S. IDENTIFICATION NO. OF ABOVE PERSON
           APPALOOSA INVESTMENT LIMITED PARTNERSHIP I

    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

   NUMBER OF          
                      -0-
     SHARES
                6  SHARED VOTING POWER
  BENEFICIALLY
                      
    OWNED BY          1,782,019

      EACH      7  SOLE DISPOSITIVE POWER
                        
   REPORTING          
                      -0-
     PERSON
                8  SHARED DISPOSITIVE POWER
      WITH
                      1,782,019

    9   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
           1,782,019

   10   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN        
        SHARES*                                                             |_|

   11   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)
           2.9%

   12   TYPE OF REPORTING PERSON*
           PN



                                SCHEDULE 13G

CUSIP NO.   039380100                                   PAGE   3  OF  11 PAGES

    1   NAME OF REPORTING PERSON
        /I.R.S. IDENTIFICATION NO. OF ABOVE PERSON
           PALOMINO FUND LTD.

    2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*             (a)   |_|
                                                                      (b)   |_|

    3   SEC USE ONLY

    4   CITIZENSHIP OR PLACE OF ORGANIZATION
           BRITISH VIRGIN ISLANDS

                5  SOLE VOTING POWER

   NUMBER OF          
                      -0-
     SHARES
                6  SHARED VOTING POWER
  BENEFICIALLY
                      
    OWNED BY          1,464,781

      EACH      7  SOLE DISPOSITIVE POWER
                        
   REPORTING          
                      -0-
     PERSON
                8  SHARED DISPOSITIVE POWER
      WITH
                      1,464,781

    9   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
           1,464,781

   10   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN        
        SHARES*                                                             |_|

   11   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)
           2.3%

   12   TYPE OF REPORTING PERSON*
           CO



                                SCHEDULE 13G

CUSIP NO.   039380100                                   PAGE   4  OF  11 PAGES

    1   NAME OF REPORTING PERSON
        /I.R.S. IDENTIFICATION NO. OF ABOVE PERSON
           APPALOOSA MANAGEMENT L.P.

    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

   NUMBER OF          
                      -0-
     SHARES
                6  SHARED VOTING POWER
  BENEFICIALLY
                      
    OWNED BY          3,246,800

      EACH      7  SOLE DISPOSITIVE POWER
                        
   REPORTING          
                      -0-
     PERSON
                8  SHARED DISPOSITIVE POWER
      WITH
                      3,246,800

    9   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
           3,246,800

   10   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN        
        SHARES*                                                             |_|

   11   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)
           5.2%

   12   TYPE OF REPORTING PERSON*
           PN



                                SCHEDULE 13G

CUSIP NO.   039380100                                   PAGE   5  OF  11 PAGES

    1   NAME OF REPORTING PERSON
        /I.R.S. IDENTIFICATION NO. OF ABOVE PERSON
           APPALOOSA PARTNERS INC.

    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

   NUMBER OF          
                      -0-
     SHARES
                6  SHARED VOTING POWER
  BENEFICIALLY
                      
    OWNED BY          3,246,800

      EACH      7  SOLE DISPOSITIVE POWER
                        
   REPORTING          
                      -0-
     PERSON
                8  SHARED DISPOSITIVE POWER
      WITH
                      3,246,800

    9   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
           3,246,800

   10   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN        
        SHARES*                                                             |_|

   11   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)
           5.2%

   12   TYPE OF REPORTING PERSON*
           CO



                                SCHEDULE 13G

CUSIP NO.   039380100                                   PAGE   6  OF  11 PAGES

    1   NAME OF REPORTING PERSON
        /I.R.S. IDENTIFICATION NO. OF ABOVE PERSON
           DAVID A. TEPPER

    2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*             (a)   |_|
                                                                      (b)   |_|

    3   SEC USE ONLY

    4   CITIZENSHIP OR PLACE OF ORGANIZATION
           UNITED STATES

                5  SOLE VOTING POWER

   NUMBER OF          
                      -0-
     SHARES
                6  SHARED VOTING POWER
  BENEFICIALLY
                      
    OWNED BY          3,246,800

      EACH      7  SOLE DISPOSITIVE POWER
                        
   REPORTING          
                      -0-
     PERSON
                8  SHARED DISPOSITIVE POWER
      WITH
                      3,246,800

    9   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
           3,246,800

   10   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN        
        SHARES*                                                             |_|

   11   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)
           5.2%

   12   TYPE OF REPORTING PERSON*
           IN




Item 1.

(a)   NAME OF ISSUER:
     
      Arch Coal, Inc.
     
(b)   ADDRESS OF ISSUER'S PRINCIPAL EXECUTIVE OFFICES:
     
      One City Place Drive
      Suite 300
      St. Louis, MO  63141
    
Item 2.

(a)   NAME OF PERSON FILING:

      This Statement is being filed by and on behalf of Appaloosa
      Investment Limited Partnership I ("AILP"), Palomino Fund Ltd.
      ("Palomino"), Appaloosa Management L.P. ("AMLP"), Appaloosa Partners
      Inc. ("API") and David A. Tepper ("Mr. Tepper" and, together with
      AILP, Palomino, AMLP and API, the "Reporting Persons"). Mr. Tepper is
      the sole stockholder and the President of API. API is the general
      partner of, and Mr. Tepper owns a majority of the limited partnership
      interests in, AMLP. AMLP is the general partner of AILP and acts as
      investment adviser to Palomino.

(b)   ADDRESS OF PRINCIPAL BUSINESS OFFICE:

      The business address of each of the Reporting Persons is c/o
      Appaloosa Management L.P., 26 Main Street, Chatham, NJ 07928.

(c)   CITIZENSHIP:

      AILP is a Delaware limited partnership. Palomino is a British Virgin
      Islands corporation. AMLP is a Delaware limited partnership. API is a
      Delaware corporation. Mr. Tepper is a citizen of the United States.

(d)   TITLE OF CLASS OF SECURITIES:

      Common Stock, par value $0.01 per share.

(e)   CUSIP NUMBER:  039380100

Item 3.    IF THIS STATEMENT IS FILED PURSUANT TO RULES 13d-1(b), OR
           13-2(b), CHECK WHETHER THE PERSON FILING IS A:

   (a) [  ]  Broker or Dealer registered under Section 15 of the Act (15
             U.S.C. 78o);

   (b) [  ]  Bank as defined in Section 3(a)(6) of the Act (15 U.S.C.
             78c);

   (c) [  ]  Insurance Company as defined in Section 3(a)(19) of the Act
             (15 U.S.C. 78c);

   (d) [  ]  Investment Company registered under Section 8 of the
             Investment Company Act (15 U.S.C. 80a-8);

   (e) [  ]  An investment advisor in accordance with Section
             240.13d-1(b)(1)(ii)(E);

   (f) [  ]  An employee benefit plan or endowment fund in accordance
             with Section 240.13d-1(b)(1)(ii)(F);

   (g) [  ]  A parent holding company or control person, in accordance
             with Section 240.13d-1(b)(1)(ii)(G);

   (h) [  ]  A savings association as defined in Section 3(b) of the
             Federal Deposit Insurance Act (12 U.S.C. 1813);

   (i) [  ]  A church plan that is excluded from the definition of an
             investment company under Section 3(c)(14) of the Investment
             Company Act of 1940 (15 U.S.C. 80a-3);

   (j) [  ]  Group, in accordance with Section 240.13d-1(b)(1)(ii)(H)

If this statement is filed pursuant to ss. 240.13d-1(c), check this box.  |X|

Item 4.    OWNERSHIP:

           The percentages set forth in this Item 4 are based on there being
           62,340,860 shares of Common Stock outstanding as of November 1,
           2004 as disclosed in Arch Coal, Inc.'s Form 10-Q filed on
           November 9, 2004 for the quarterly period ended September 30,
           2004.  The amount of beneficially owned interests set forth in
           this Item 4 include options to purchase Common Stock that were
           acquired by the Reporting Persons after December 31, 2004.

   AILP
   ----

   (a)  AMOUNT BENEFICIALLY OWNED:  1,782,019

   (b)  PERCENT OF CLASS:  2.9%

   (c)  NUMBER OF SHARES AS TO WHICH SUCH PERSON HAS:

       (i)    sole power to vote or to direct the vote: -0-

       (ii)   shared power to vote or to direct the vote: 1,782,019

       (iii)  sole power to dispose or to direct the disposition of: -0-

       (iv)   shared power to dispose or to direct the disposition of:
              1,782,019

   Palomino
   --------

   (a)  AMOUNT BENEFICIALLY OWNED:  1,464,781

   (b)  PERCENT OF CLASS:  2.3%

   (c)  NUMBER OF SHARES AS TO WHICH SUCH PERSON HAS:

       (i)    sole power to vote or to direct the vote: -0-

       (ii)   shared power to vote or to direct the vote: 1,464,781

       (iii)  sole power to dispose or to direct the disposition of: -0-

       (iv)   shared power to dispose or to direct the disposition of:
              1,464,781

   AMLP
   ----

   (a)  AMOUNT BENEFICIALLY OWNED:  3,246,800

   (b)  PERCENT OF CLASS:  5.2%

   (c)  NUMBER OF SHARES AS TO WHICH SUCH PERSON HAS:

       (i)    sole power to vote or to direct the vote: -0-

       (ii)   shared power to vote or to direct the vote: 3,246,800

       (iii)  sole power to dispose or to direct the disposition of: -0-

       (iv)   shared power to dispose or to direct the disposition of:
              3,246,800

   API
   ---

   (a)  AMOUNT BENEFICIALLY OWNED:  3,246,800

   (b)  PERCENT OF CLASS:  5.2%

   (c)  NUMBER OF SHARES AS TO WHICH SUCH PERSON HAS:

       (i)    sole power to vote or to direct the vote: -0-

       (ii)   shared power to vote or to direct the vote: 3,246,800

       (iii)  sole power to dispose or to direct the disposition of: -0-

       (iv)   shared power to dispose or to direct the disposition of:
              3,246,800

   David A. Tepper
   ---------------

   (a)  AMOUNT BENEFICIALLY OWNED:  3,246,800

   (b)  PERCENT OF CLASS:  5.2%

   (c)  NUMBER OF SHARES AS TO WHICH SUCH PERSON HAS:

       (i)    sole power to vote or to direct the vote: -0-

       (ii)   shared power to vote or to direct the vote: 3,246,800

       (iii)  sole power to dispose or to direct the disposition of: -0-

       (iv)   shared power to dispose or to direct the disposition of:
              3,246,800

Item 5.    OWNERSHIP OF FIVE PERCENT OR LESS OF A CLASS:

           If this statement is being filed to report the fact that as of
the date hereof the reporting person has ceased to be the beneficial owner
of more than five percent of the class of securities, check the following:
|_|

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

           Not applicable.

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

           Not applicable.

Item 8.    IDENTIFICATION AND CLASSIFICATION OF MEMBERS OF THE GROUP:

           Not applicable.

Item 9.    NOTICES OF DISSOLUTION OF GROUP:

           Not applicable.

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.



                               SIGNATURE PAGE

           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.

Dated:  February 9, 2005

                               APPALOOSA INVESTMENT LIMITED PARTNERSHIP I

                               By:  APPALOOSA MANAGEMENT L.P.,
                                       Its General Partner

                                       By:  APPALOOSA PARTNERS INC.,
                                        Its General Partner

                                        By: /s/ David A. Tepper
                                           --------------------------------
                                           Name:    David A. Tepper
                                           Title:   President

                               PALOMINO FUND LTD.

                               By:  APPALOOSA MANAGEMENT L.P.,
                                       Its Investment Adviser

                                       By:  APPALOOSA PARTNERS INC.,
                                        Its General Partner

                                        By: /s/ David A. Tepper
                                           --------------------------------
                                           Name:    David A. Tepper
                                           Title:   President

                               APPALOOSA MANAGEMENT L.P.

                               By:  APPALOOSA PARTNERS INC.,
                                       Its General Partner

                                        By: /s/ David A. Tepper
                                           --------------------------------
                                           Name:    David A. Tepper
                                           Title:   President

                               APPALOOSA PARTNERS INC.

                                        By: /s/ David A. Tepper
                                           --------------------------------
                                           Name:    David A. Tepper
                                           Title:   President

                                /s/ David A. Tepper
                               --------------------------------
                               David A. Tepper




                                 EXHIBIT A
                                 ---------
                           JOINT FILING AGREEMENT
                           ----------------------

The undersigned agree that the foregoing Statement on Schedule 13G
(including any and all amendments thereto) is being filed with the
Securities and Exchange Commission on behalf of each of the undersigned
pursuant to Rule 13d-1(k) under the Act and further agree that this Joint
Filing Agreement be included as an Exhibit to such joint filings.

Dated:     February 9, 2005

                               APPALOOSA INVESTMENT LIMITED PARTNERSHIP I

                               By:  APPALOOSA MANAGEMENT L.P.,
                                       Its General Partner

                                       By:  APPALOOSA PARTNERS INC.,
                                        Its General Partner

                                        By: /s/ David A. Tepper
                                           --------------------------------
                                           Name:    David A. Tepper
                                           Title:   President

                               PALOMINO FUND LTD.

                               By:  APPALOOSA MANAGEMENT L.P.,
                                       Its Investment Adviser

                                       By:  APPALOOSA PARTNERS INC.,
                                        Its General Partner

                                        By: /s/ David A. Tepper
                                           --------------------------------
                                           Name:    David A. Tepper
                                           Title:   President

                               APPALOOSA MANAGEMENT L.P.

                               By:  APPALOOSA PARTNERS INC.,
                                       Its General Partner

                                        By: /s/ David A. Tepper
                                           --------------------------------
                                           Name:    David A. Tepper
                                           Title:   President

                               APPALOOSA PARTNERS INC.

                                        By: /s/ David A. Tepper
                                           --------------------------------
                                           Name:    David A. Tepper
                                           Title:   President

                                /s/ David A. Tepper
                               --------------------------------
                               David A. Tepper