{"id":"vidhyamitra:city-day:ranchi:2003-11-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2003-11-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2003-11-13","date_display":"November 13, 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":11,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452956.770833,"kali_year":5105,"ahargana":1864491.2708,"sun":{"sidereal_longitude":205.6963,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":72.6766,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":226.9804,"elapsed_within_tithi_degrees":10.9804},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":72.6766,"elapsed_within_degrees":6.01},"yoga":{"number":21,"name":"Siddha","sum_longitude":278.3729},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":11,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452956.770833,"ahargana":1864491.2708,"kali_year":5105,"ayanamsa_lahiri":23.907,"grahas":{"sun":{"sidereal_longitude":206.33177,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":69.46807000000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":3.0325},"mars":{"sidereal_longitude":318.3411699999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":217.12257,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":141.05026999999995,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":228.67317000000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":78.93097,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":30.2799,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":210.2799,"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":11,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452956.770833,"kali_year":5105,"ahargana":1864491.2708,"sun":{"sidereal_longitude":205.6963,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":72.6766,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":226.9804,"elapsed_within_tithi_degrees":10.9804},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":72.6766,"elapsed_within_degrees":6.01},"yoga":{"number":21,"name":"Siddha","sum_longitude":278.3729},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.032,"elongation":133.02},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.032,"opposition_distance":46.98}},"eclipse_window_40days":[{"offset_days":-4,"type":"lunar","occurs":true,"moon_latitude":-0.607,"opposition_distance":1.076},{"offset_days":11,"type":"solar","occurs":true,"moon_latitude":-0.629,"elongation":0.882}]},"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":"06:02","sunsetLocal":"17:05","solarNoonLocal":"11:34","dayLengthHours":11.065977281582072,"dayLengthDisplay":"11 Hours 03 Mins 58 Secs","nightLengthDisplay":"12 Hours 56 Mins 02 Secs","moonriseLocal":"19:40","moonsetLocal":"09:12","rahuKala":{"name":"Rāhu Kāla","start":"12:56","end":"14:19","startHours":12.941610479956795,"endHours":14.324857640154555,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:02","end":"07:25","startHours":6.025374678968,"endHours":7.408621839165759,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:48","end":"10:11","startHours":8.791868999363519,"endHours":10.175116159561277,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:36","end":"08:59","startHours":8.607436044670484,"endHours":8.976301954056552,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:47","startHours":6.486457065700587,"endHours":6.781549793209442,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:11","end":"11:56","startHours":11.189497410372967,"endHours":11.927229229145103,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:33","end":"05:17","startHours":4.549911041423724,"endHours":5.287642860195862,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:06","end":"06:02","startHours":5.103209905502828,"endHours":6.025374678968,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:24","end":"14:08","startHours":13.402692866689382,"endHours":14.14042468546152,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:53","end":"17:17","startHours":16.89135196055007,"endHours":17.29135196055007,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:05","end":"17:33","startHours":17.09135196055007,"endHours":17.552434347282656,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:50","end":"18:35","startHours":16.84135196055007,"endHours":18.59135196055007,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:11","end":"23:56","startHours":23.189497410372965,"endHours":23.927229229145105,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:02","end":"07:25","startHours":6.025374678968,"endHours":7.408621839165759,"quality":"auspicious"},{"name":"Roga","start":"07:25","end":"08:48","startHours":7.408621839165759,"endHours":8.791868999363519,"quality":"inauspicious"},{"name":"Udveg","start":"08:48","end":"10:11","startHours":8.791868999363519,"endHours":10.175116159561277,"quality":"inauspicious"},{"name":"Chala","start":"10:11","end":"11:34","startHours":10.175116159561277,"endHours":11.558363319759035,"quality":"neutral"},{"name":"Labha","start":"11:34","end":"12:56","startHours":11.558363319759035,"endHours":12.941610479956795,"quality":"auspicious"},{"name":"Amṛta","start":"12:56","end":"14:19","startHours":12.941610479956795,"endHours":14.324857640154555,"quality":"auspicious"},{"name":"Kāla","start":"14:19","end":"15:42","startHours":14.324857640154555,"endHours":15.708104800352313,"quality":"inauspicious"},{"name":"Śubha","start":"15:42","end":"17:05","startHours":15.708104800352313,"endHours":17.09135196055007,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:05","end":"18:42","startHours":17.09135196055007,"endHours":18.708104800352313,"quality":"auspicious"},{"name":"Kāla","start":"18:42","end":"20:19","startHours":18.708104800352313,"endHours":20.324857640154555,"quality":"inauspicious"},{"name":"Śubha","start":"20:19","end":"21:56","startHours":20.324857640154555,"endHours":21.941610479956793,"quality":"auspicious"},{"name":"Roga","start":"21:56","end":"23:34","startHours":21.941610479956793,"endHours":23.558363319759035,"quality":"inauspicious"},{"name":"Udveg","start":"23:34","end":"01:11","startHours":23.558363319759035,"endHours":25.175116159561277,"quality":"inauspicious"},{"name":"Chala","start":"01:11","end":"02:48","startHours":25.175116159561277,"endHours":26.791868999363516,"quality":"neutral"},{"name":"Labha","start":"02:48","end":"04:25","startHours":26.791868999363516,"endHours":28.408621839165757,"quality":"auspicious"},{"name":"Amṛta","start":"04:25","end":"06:02","startHours":28.408621839165757,"endHours":30.025374678968,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:02","end":"07:02","startHours":6.025374678968,"endHours":7.025374678968,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:02","end":"08:02","startHours":7.025374678968,"endHours":8.025374678968,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:02","end":"09:02","startHours":8.025374678968,"endHours":9.025374678968,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:02","end":"10:02","startHours":9.025374678968,"endHours":10.025374678968,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:02","end":"11:02","startHours":10.025374678968,"endHours":11.025374678968,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:02","end":"12:02","startHours":11.025374678968,"endHours":12.025374678968,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:02","end":"13:02","startHours":12.025374678968,"endHours":13.025374678968,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:02","end":"14:02","startHours":13.025374678968,"endHours":14.025374678968,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:02","end":"15:02","startHours":14.025374678968,"endHours":15.025374678968,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:02","end":"16:02","startHours":15.025374678968,"endHours":16.025374678968,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:02","end":"17:02","startHours":16.025374678968,"endHours":17.025374678968,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:02","end":"18:02","startHours":17.025374678968,"endHours":18.025374678968,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:02","end":"19:02","startHours":18.025374678968,"endHours":19.025374678968,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:02","end":"20:02","startHours":19.025374678968,"endHours":20.025374678968,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:02","end":"21:02","startHours":20.025374678968,"endHours":21.025374678968,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:02","end":"22:02","startHours":21.025374678968,"endHours":22.025374678968,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:02","end":"23:02","startHours":22.025374678968,"endHours":23.025374678968,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:02","end":"00:02","startHours":23.025374678968,"endHours":24.025374678968,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:02","end":"01:02","startHours":24.025374678968,"endHours":25.025374678968,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:02","end":"02:02","startHours":25.025374678968,"endHours":26.025374678968,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:02","end":"03:02","startHours":26.025374678968,"endHours":27.025374678968,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:02","end":"04:02","startHours":27.025374678968,"endHours":28.025374678968,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:02","end":"05:02","startHours":28.025374678968,"endHours":29.025374678968,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:02","end":"06:02","startHours":29.025374678968,"endHours":30.025374678968,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-17.802900248325216,"eotMinutes":15.25980081445791,"ayanamsa":23.907}},"calendars":{"vikram_samvat":2060,"vikram_samvatsara":"Durmukhi","saka_samvat":1925,"saka_samvatsara":"Subhānu","bengali_samvat":1410,"malayalam_era":1179,"nanakshahi_year":534,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Caturthī · Vikram 2060 Durmukhi · Śaka 1925 Subhānu"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 November 13, 2003 CE · Ranchi, Jharkhand · Vidhyamitra","description":"November 13, 2003 CE for Ranchi, Jharkhand: Kṛṣṇa Caturthī, sūryodaya 06:02, sūryāsta 17:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2003-11-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2003-11-13","sa":"https://sa.vidhyamitra.com/city/ranchi/2003-11-13","hi":"https://hi.vidhyamitra.com/city/ranchi/2003-11-13","x-default":"https://vidhyamitra.com/city/ranchi/2003-11-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T02:18:42.140Z","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":"2026-05-31T02:18:42.140Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T02:18:42.140Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}