{"id":"vidhyamitra:city-day:patna:2004-07-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/patna/2004-07-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2004-07-24","date_display":"July 24, 2004 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2004,"month":7,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453210.770833,"kali_year":5106,"ahargana":1864745.2708,"sun":{"sidereal_longitude":97.0755,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":176.4222,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":79.3467,"elapsed_within_tithi_degrees":7.3467},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":176.4222,"elapsed_within_degrees":3.0889},"yoga":{"number":21,"name":"Siddha","sum_longitude":273.4977},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2004,"month":7,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2453210.770833,"ahargana":1864745.2708,"kali_year":5106,"ayanamsa_lahiri":23.9167,"grahas":{"sun":{"sidereal_longitude":97.57576599999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"moon":{"sidereal_longitude":173.80406600000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false,"latitude":1.5671},"mars":{"sidereal_longitude":115.04236600000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":124.45326599999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":143.389566,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":54.711566000000005,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":84.79116599999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":16.8218,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":196.8218,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2004,"month":7,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453210.770833,"kali_year":5106,"ahargana":1864745.2708,"sun":{"sidereal_longitude":97.0755,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":176.4222,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":79.3467,"elapsed_within_tithi_degrees":7.3467},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":176.4222,"elapsed_within_degrees":3.0889},"yoga":{"number":21,"name":"Siddha","sum_longitude":273.4977},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.567,"elongation":79.347},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.567,"opposition_distance":100.653}},"eclipse_window_40days":[]},"city":{"slug":"patna","name":"Patna, Bihar","lat":25.5941,"lon":85.1376,"tz_offset_hours":5.5,"state":"Bihar","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"patna","name":"Patna, Bihar","lat":25.5941,"lon":85.1376,"tz_offset_hours":5.5,"state":"Bihar","country":"IN","tier":"tier-1"},"sunriseLocal":"05:12","sunsetLocal":"18:39","solarNoonLocal":"11:56","dayLengthHours":13.458974846128687,"dayLengthDisplay":"13 Hours 27 Mins 32 Secs","nightLengthDisplay":"10 Hours 32 Mins 28 Secs","moonriseLocal":"11:11","moonsetLocal":"22:50","rahuKala":{"name":"Rāhu Kāla","start":"08:34","end":"10:15","startHours":8.562085788319802,"endHours":10.24445764408589,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:37","end":"15:17","startHours":13.60920135561806,"endHours":15.291573211384147,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:12","end":"06:53","startHours":5.197342076787631,"endHours":6.879713932553717,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:20","end":"08:47","startHours":8.337769540884326,"endHours":8.78640203575528,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:45","end":"06:07","startHours":5.758132695376327,"endHours":6.117038691273092,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:29","end":"12:23","startHours":11.478197004981018,"endHours":12.375461994722931,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:24","end":"04:18","startHours":3.4028120973038063,"endHours":4.300077087045719,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:05","end":"05:12","startHours":4.075760839610241,"endHours":5.197342076787631,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:10","end":"15:04","startHours":14.169991974206756,"endHours":15.067256963948669,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:27","end":"18:51","startHours":18.45631692291632,"endHours":18.856316922916317,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:39","end":"19:13","startHours":18.656316922916318,"endHours":19.217107541505012,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:24","end":"20:09","startHours":18.406316922916318,"endHours":20.156316922916318,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:29","end":"00:23","startHours":23.47819700498102,"endHours":24.375461994722933,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:12","end":"06:53","startHours":5.197342076787631,"endHours":6.879713932553717,"quality":"inauspicious"},{"name":"Śubha","start":"06:53","end":"08:34","startHours":6.879713932553717,"endHours":8.562085788319802,"quality":"auspicious"},{"name":"Roga","start":"08:34","end":"10:15","startHours":8.562085788319802,"endHours":10.24445764408589,"quality":"inauspicious"},{"name":"Udveg","start":"10:15","end":"11:56","startHours":10.24445764408589,"endHours":11.926829499851975,"quality":"inauspicious"},{"name":"Chala","start":"11:56","end":"13:37","startHours":11.926829499851975,"endHours":13.60920135561806,"quality":"neutral"},{"name":"Labha","start":"13:37","end":"15:17","startHours":13.60920135561806,"endHours":15.291573211384147,"quality":"auspicious"},{"name":"Amṛta","start":"15:17","end":"16:58","startHours":15.291573211384147,"endHours":16.973945067150233,"quality":"auspicious"},{"name":"Kāla","start":"16:58","end":"18:39","startHours":16.973945067150233,"endHours":18.656316922916318,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:39","end":"19:58","startHours":18.656316922916318,"endHours":19.973945067150233,"quality":"auspicious"},{"name":"Amṛta","start":"19:58","end":"21:17","startHours":19.973945067150233,"endHours":21.291573211384147,"quality":"auspicious"},{"name":"Kāla","start":"21:17","end":"22:37","startHours":21.291573211384147,"endHours":22.60920135561806,"quality":"inauspicious"},{"name":"Śubha","start":"22:37","end":"23:56","startHours":22.60920135561806,"endHours":23.926829499851976,"quality":"auspicious"},{"name":"Roga","start":"23:56","end":"01:15","startHours":23.926829499851976,"endHours":25.24445764408589,"quality":"inauspicious"},{"name":"Udveg","start":"01:15","end":"02:34","startHours":25.24445764408589,"endHours":26.562085788319802,"quality":"inauspicious"},{"name":"Chala","start":"02:34","end":"03:53","startHours":26.562085788319802,"endHours":27.879713932553717,"quality":"neutral"},{"name":"Labha","start":"03:53","end":"05:12","startHours":27.879713932553717,"endHours":29.19734207678763,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:12","end":"06:12","startHours":5.197342076787631,"endHours":6.197342076787631,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:12","end":"07:12","startHours":6.197342076787631,"endHours":7.197342076787631,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:12","end":"08:12","startHours":7.197342076787631,"endHours":8.197342076787631,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:12","end":"09:12","startHours":8.197342076787631,"endHours":9.197342076787631,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:12","end":"10:12","startHours":9.197342076787631,"endHours":10.197342076787631,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:12","end":"11:12","startHours":10.197342076787631,"endHours":11.197342076787631,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:12","end":"12:12","startHours":11.197342076787631,"endHours":12.197342076787631,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:12","end":"13:12","startHours":12.197342076787631,"endHours":13.197342076787631,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:12","end":"14:12","startHours":13.197342076787631,"endHours":14.197342076787631,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:12","end":"15:12","startHours":14.197342076787631,"endHours":15.197342076787631,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:12","end":"16:12","startHours":15.197342076787631,"endHours":16.19734207678763,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:12","end":"17:12","startHours":16.19734207678763,"endHours":17.19734207678763,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:12","end":"18:12","startHours":17.19734207678763,"endHours":18.19734207678763,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:12","end":"19:12","startHours":18.19734207678763,"endHours":19.19734207678763,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:12","end":"20:12","startHours":19.19734207678763,"endHours":20.19734207678763,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:12","end":"21:12","startHours":20.19734207678763,"endHours":21.19734207678763,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:12","end":"22:12","startHours":21.19734207678763,"endHours":22.19734207678763,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:12","end":"23:12","startHours":22.19734207678763,"endHours":23.19734207678763,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:12","end":"00:12","startHours":23.19734207678763,"endHours":24.19734207678763,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:12","end":"01:12","startHours":24.19734207678763,"endHours":25.19734207678763,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:12","end":"02:12","startHours":25.19734207678763,"endHours":26.19734207678763,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:12","end":"03:12","startHours":26.19734207678763,"endHours":27.19734207678763,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:12","end":"04:12","startHours":27.19734207678763,"endHours":28.19734207678763,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:12","end":"05:12","startHours":28.19734207678763,"endHours":29.19734207678763,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.825095600281912,"eotMinutes":-6.160169991118456,"ayanamsa":23.9167}},"calendars":{"vikram_samvat":2061,"vikram_samvatsara":"Hemalambī","saka_samvat":1926,"saka_samvatsara":"Tāraṇa","bengali_samvat":1411,"malayalam_era":1180,"nanakshahi_year":535,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa (Adhika) Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa (Adhika) Śukla Saptamī · Vikram 2061 Hemalambī · Śaka 1926 Tāraṇa"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"patna"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 24, 2004 CE · Patna, Bihar · Vidhyamitra","description":"July 24, 2004 CE for Patna, Bihar: Śukla Saptamī, sūryodaya 05:12, sūryāsta 18:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/patna/2004-07-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/patna/2004-07-24","sa":"https://sa.vidhyamitra.com/city/patna/2004-07-24","hi":"https://hi.vidhyamitra.com/city/patna/2004-07-24","x-default":"https://vidhyamitra.com/city/patna/2004-07-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-23T20:42:50.437Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-09-23T20:42:50.437Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-23T20:42:50.437Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}