{"id":"vidhyamitra:city-day:ranchi:2003-09-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2003-09-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2003-09-20","date_display":"September 20, 2003 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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2003,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452902.770833,"kali_year":5105,"ahargana":1864437.2708,"sun":{"sidereal_longitude":152.0338,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":78.1799,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":286.1461,"elapsed_within_tithi_degrees":10.1461},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":78.1799,"elapsed_within_degrees":11.5132},"yoga":{"number":18,"name":"Varīyān","sum_longitude":230.2137},"karana":{"half_tithi_index":47,"name":"Gara"},"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":2003,"month":9,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452902.770833,"ahargana":1864437.2708,"kali_year":5105,"ayanamsa_lahiri":23.9049,"grahas":{"sun":{"sidereal_longitude":152.77763400000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":76.60873400000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":3.1825},"mars":{"sidereal_longitude":306.43733399999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":138.36893400000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":131.18663400000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":161.50543399999992,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":78.08193399999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":33.1411,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":213.1411,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2003,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452902.770833,"kali_year":5105,"ahargana":1864437.2708,"sun":{"sidereal_longitude":152.0338,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":78.1799,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":286.1461,"elapsed_within_tithi_degrees":10.1461},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":78.1799,"elapsed_within_degrees":11.5132},"yoga":{"number":18,"name":"Varīyān","sum_longitude":230.2137},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.182,"elongation":73.854},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.182,"opposition_distance":106.146}},"eclipse_window_40days":[]},"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"sunriseLocal":"05:36","sunsetLocal":"17:47","solarNoonLocal":"11:41","dayLengthHours":12.196923646931399,"dayLengthDisplay":"12 Hours 11 Mins 49 Secs","nightLengthDisplay":"11 Hours 48 Mins 11 Secs","moonriseLocal":"23:52","moonsetLocal":"13:22","rahuKala":{"name":"Rāhu Kāla","start":"08:38","end":"10:10","startHours":8.641013842241243,"endHours":10.16562929810767,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:13","end":"14:44","startHours":13.214860209840518,"endHours":14.739475665706944,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:36","end":"07:07","startHours":5.591782930508394,"endHours":7.116398386374819,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:26","end":"08:51","startHours":8.437731781459053,"endHours":8.844295903023434,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:06","end":"06:26","startHours":6.099988082463869,"endHours":6.425239379715373,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:17","end":"12:06","startHours":11.283680632409714,"endHours":12.096808875538473,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:58","end":"04:47","startHours":3.965526444250874,"endHours":4.7786546873796345,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:35","end":"05:36","startHours":4.575372626597444,"endHours":5.591782930508394,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:43","end":"14:32","startHours":13.723065361795994,"endHours":14.536193604924755,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:35","end":"17:59","startHours":17.588706577439794,"endHours":17.988706577439793,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:47","end":"18:18","startHours":17.788706577439793,"endHours":18.29691172939527,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:32","end":"19:17","startHours":17.538706577439793,"endHours":19.288706577439793,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:17","end":"00:06","startHours":23.283680632409713,"endHours":24.09680887553847,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:36","end":"07:07","startHours":5.591782930508394,"endHours":7.116398386374819,"quality":"inauspicious"},{"name":"Śubha","start":"07:07","end":"08:38","startHours":7.116398386374819,"endHours":8.641013842241243,"quality":"auspicious"},{"name":"Roga","start":"08:38","end":"10:10","startHours":8.641013842241243,"endHours":10.16562929810767,"quality":"inauspicious"},{"name":"Udveg","start":"10:10","end":"11:41","startHours":10.16562929810767,"endHours":11.690244753974094,"quality":"inauspicious"},{"name":"Chala","start":"11:41","end":"13:13","startHours":11.690244753974094,"endHours":13.214860209840518,"quality":"neutral"},{"name":"Labha","start":"13:13","end":"14:44","startHours":13.214860209840518,"endHours":14.739475665706944,"quality":"auspicious"},{"name":"Amṛta","start":"14:44","end":"16:16","startHours":14.739475665706944,"endHours":16.26409112157337,"quality":"auspicious"},{"name":"Kāla","start":"16:16","end":"17:47","startHours":16.26409112157337,"endHours":17.788706577439793,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:47","end":"19:16","startHours":17.788706577439793,"endHours":19.26409112157337,"quality":"auspicious"},{"name":"Amṛta","start":"19:16","end":"20:44","startHours":19.26409112157337,"endHours":20.739475665706944,"quality":"auspicious"},{"name":"Kāla","start":"20:44","end":"22:13","startHours":20.739475665706944,"endHours":22.214860209840516,"quality":"inauspicious"},{"name":"Śubha","start":"22:13","end":"23:41","startHours":22.214860209840516,"endHours":23.690244753974092,"quality":"auspicious"},{"name":"Roga","start":"23:41","end":"01:10","startHours":23.690244753974092,"endHours":25.165629298107667,"quality":"inauspicious"},{"name":"Udveg","start":"01:10","end":"02:38","startHours":25.165629298107667,"endHours":26.641013842241243,"quality":"inauspicious"},{"name":"Chala","start":"02:38","end":"04:07","startHours":26.641013842241243,"endHours":28.11639838637482,"quality":"neutral"},{"name":"Labha","start":"04:07","end":"05:36","startHours":28.11639838637482,"endHours":29.591782930508394,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:36","end":"06:36","startHours":5.591782930508394,"endHours":6.591782930508394,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:36","end":"07:36","startHours":6.591782930508394,"endHours":7.591782930508394,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:36","end":"08:36","startHours":7.591782930508394,"endHours":8.591782930508394,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:36","end":"09:36","startHours":8.591782930508394,"endHours":9.591782930508394,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:36","end":"10:36","startHours":9.591782930508394,"endHours":10.591782930508394,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:36","end":"11:36","startHours":10.591782930508394,"endHours":11.591782930508394,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:36","end":"12:36","startHours":11.591782930508394,"endHours":12.591782930508394,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:36","end":"13:36","startHours":12.591782930508394,"endHours":13.591782930508394,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:36","end":"14:36","startHours":13.591782930508394,"endHours":14.591782930508394,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:36","end":"15:36","startHours":14.591782930508394,"endHours":15.591782930508394,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:36","end":"16:36","startHours":15.591782930508394,"endHours":16.591782930508394,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:36","end":"17:36","startHours":16.591782930508394,"endHours":17.591782930508394,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:36","end":"18:36","startHours":17.591782930508394,"endHours":18.591782930508394,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:36","end":"19:36","startHours":18.591782930508394,"endHours":19.591782930508394,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:36","end":"20:36","startHours":19.591782930508394,"endHours":20.591782930508394,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:36","end":"21:36","startHours":20.591782930508394,"endHours":21.591782930508394,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:36","end":"22:36","startHours":21.591782930508394,"endHours":22.591782930508394,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:36","end":"23:36","startHours":22.591782930508394,"endHours":23.591782930508394,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:36","end":"00:36","startHours":23.591782930508394,"endHours":24.591782930508394,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:36","end":"01:36","startHours":24.591782930508394,"endHours":25.591782930508394,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:36","end":"02:36","startHours":25.591782930508394,"endHours":26.591782930508394,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:36","end":"03:36","startHours":26.591782930508394,"endHours":27.591782930508394,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:36","end":"04:36","startHours":27.591782930508394,"endHours":28.591782930508394,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:36","end":"05:36","startHours":28.591782930508394,"endHours":29.591782930508394,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":1.3188432505634076,"eotMinutes":7.346914761554353,"ayanamsa":23.9049}},"calendars":{"vikram_samvat":2060,"vikram_samvatsara":"Durmukhi","saka_samvat":1925,"saka_samvatsara":"Subhānu","bengali_samvat":1410,"malayalam_era":1179,"nanakshahi_year":534,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Navamī · Vikram 2060 Durmukhi · Śaka 1925 Subhānu"},"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":"ranchi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga September 20, 2003 CE · Ranchi, Jharkhand · Vidhyamitra","description":"September 20, 2003 CE for Ranchi, Jharkhand: Kṛṣṇa Navamī, sūryodaya 05:36, sūryāsta 17:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2003-09-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2003-09-20","sa":"https://sa.vidhyamitra.com/city/ranchi/2003-09-20","hi":"https://hi.vidhyamitra.com/city/ranchi/2003-09-20","x-default":"https://vidhyamitra.com/city/ranchi/2003-09-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T04:55:44.848Z","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":"2026-06-01T04:55:44.848Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T04:55:44.848Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}