{"id":"vidhyamitra:city-day:ranchi:2024-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2024-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2024-01-13","date_display":"January 13, 2024 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":2024,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2460322.770833,"kali_year":5125,"ahargana":1871857.2708,"sun":{"sidereal_longitude":267.9451,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":286.7887,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":18.8435,"elapsed_within_tithi_degrees":6.8435},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":286.7887,"elapsed_within_degrees":6.7887},"yoga":{"number":15,"name":"Vajra","sum_longitude":194.7338},"karana":{"half_tithi_index":3,"name":"Kaulava"},"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":2024,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2460322.770833,"ahargana":1871857.2708,"kali_year":5125,"ayanamsa_lahiri":24.1887,"grahas":{"sun":{"sidereal_longitude":268.136935,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":289.43203500000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false,"latitude":-4.3077},"mars":{"sidereal_longitude":251.82103499999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":244.2289350000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":11.699635,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":232.79893500000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":310.294535,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":359.9938,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":179.9938,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"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":2024,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2460322.770833,"kali_year":5125,"ahargana":1871857.2708,"sun":{"sidereal_longitude":267.9451,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":286.7887,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":18.8435,"elapsed_within_tithi_degrees":6.8435},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":286.7887,"elapsed_within_degrees":6.7887},"yoga":{"number":15,"name":"Vajra","sum_longitude":194.7338},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.308,"elongation":18.844},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.308,"opposition_distance":161.156}},"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":"06:33","sunsetLocal":"17:22","solarNoonLocal":"11:57","dayLengthHours":10.820870598453782,"dayLengthDisplay":"10 Hours 49 Mins 15 Secs","nightLengthDisplay":"13 Hours 10 Mins 45 Secs","moonriseLocal":"07:50","moonsetLocal":"18:55","rahuKala":{"name":"Rāhu Kāla","start":"09:15","end":"10:36","startHours":9.251407875242782,"endHours":10.604016700049506,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:19","end":"14:40","startHours":13.309234349662951,"endHours":14.661843174469674,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:33","end":"07:54","startHours":6.546190225629337,"endHours":7.898799050436059,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:26","startHours":9.071060031935218,"endHours":9.431755718550345,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:17","startHours":6.997059833898244,"endHours":7.285616383190344,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:19","startHours":11.595929838241101,"endHours":12.317321211471352,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.103407479168832,"endHours":5.824798852399084,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:39","end":"06:33","startHours":5.644451009091521,"endHours":6.546190225629337,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:46","end":"14:29","startHours":13.760103957931857,"endHours":14.48149533116211,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:10","end":"17:34","startHours":17.16706082408312,"endHours":17.567060824083118,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:22","end":"17:49","startHours":17.36706082408312,"endHours":17.817930432352025,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:07","end":"18:52","startHours":17.11706082408312,"endHours":18.86706082408312,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:19","startHours":23.5959298382411,"endHours":24.317321211471356,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:33","end":"07:54","startHours":6.546190225629337,"endHours":7.898799050436059,"quality":"inauspicious"},{"name":"Śubha","start":"07:54","end":"09:15","startHours":7.898799050436059,"endHours":9.251407875242782,"quality":"auspicious"},{"name":"Roga","start":"09:15","end":"10:36","startHours":9.251407875242782,"endHours":10.604016700049506,"quality":"inauspicious"},{"name":"Udveg","start":"10:36","end":"11:57","startHours":10.604016700049506,"endHours":11.956625524856229,"quality":"inauspicious"},{"name":"Chala","start":"11:57","end":"13:19","startHours":11.956625524856229,"endHours":13.309234349662951,"quality":"neutral"},{"name":"Labha","start":"13:19","end":"14:40","startHours":13.309234349662951,"endHours":14.661843174469674,"quality":"auspicious"},{"name":"Amṛta","start":"14:40","end":"16:01","startHours":14.661843174469674,"endHours":16.014451999276396,"quality":"auspicious"},{"name":"Kāla","start":"16:01","end":"17:22","startHours":16.014451999276396,"endHours":17.36706082408312,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:22","end":"19:01","startHours":17.36706082408312,"endHours":19.014451999276396,"quality":"auspicious"},{"name":"Amṛta","start":"19:01","end":"20:40","startHours":19.014451999276396,"endHours":20.661843174469674,"quality":"auspicious"},{"name":"Kāla","start":"20:40","end":"22:19","startHours":20.661843174469674,"endHours":22.30923434966295,"quality":"inauspicious"},{"name":"Śubha","start":"22:19","end":"23:57","startHours":22.30923434966295,"endHours":23.95662552485623,"quality":"auspicious"},{"name":"Roga","start":"23:57","end":"01:36","startHours":23.95662552485623,"endHours":25.604016700049506,"quality":"inauspicious"},{"name":"Udveg","start":"01:36","end":"03:15","startHours":25.604016700049506,"endHours":27.251407875242784,"quality":"inauspicious"},{"name":"Chala","start":"03:15","end":"04:54","startHours":27.251407875242784,"endHours":28.89879905043606,"quality":"neutral"},{"name":"Labha","start":"04:54","end":"06:33","startHours":28.89879905043606,"endHours":30.54619022562934,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:33","end":"07:33","startHours":6.546190225629337,"endHours":7.546190225629337,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:33","end":"08:33","startHours":7.546190225629337,"endHours":8.546190225629337,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:33","end":"09:33","startHours":8.546190225629337,"endHours":9.546190225629337,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:33","end":"10:33","startHours":9.546190225629337,"endHours":10.546190225629337,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:33","end":"11:33","startHours":10.546190225629337,"endHours":11.546190225629337,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:33","end":"12:33","startHours":11.546190225629337,"endHours":12.546190225629337,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:33","end":"13:33","startHours":12.546190225629337,"endHours":13.546190225629337,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:33","end":"14:33","startHours":13.546190225629337,"endHours":14.546190225629337,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:33","end":"15:33","startHours":14.546190225629337,"endHours":15.546190225629337,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:33","end":"16:33","startHours":15.546190225629337,"endHours":16.54619022562934,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:33","end":"17:33","startHours":16.54619022562934,"endHours":17.54619022562934,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:33","end":"18:33","startHours":17.54619022562934,"endHours":18.54619022562934,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:33","end":"19:33","startHours":18.54619022562934,"endHours":19.54619022562934,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:33","end":"20:33","startHours":19.54619022562934,"endHours":20.54619022562934,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:33","end":"21:33","startHours":20.54619022562934,"endHours":21.54619022562934,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:33","end":"22:33","startHours":21.54619022562934,"endHours":22.54619022562934,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:33","end":"23:33","startHours":22.54619022562934,"endHours":23.54619022562934,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:33","end":"00:33","startHours":23.54619022562934,"endHours":24.54619022562934,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:33","end":"01:33","startHours":24.54619022562934,"endHours":25.54619022562934,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:33","end":"02:33","startHours":25.54619022562934,"endHours":26.54619022562934,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:33","end":"03:33","startHours":26.54619022562934,"endHours":27.54619022562934,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:33","end":"04:33","startHours":27.54619022562934,"endHours":28.54619022562934,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:33","end":"05:33","startHours":28.54619022562934,"endHours":29.54619022562934,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:33","end":"06:33","startHours":29.54619022562934,"endHours":30.54619022562934,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-21.587295342098532,"eotMinutes":-8.635931491373626,"ayanamsa":24.1887}},"calendars":{"vikram_samvat":2081,"vikram_samvatsara":"Piṅgala","saka_samvat":1946,"saka_samvatsara":"Krodhi","bengali_samvat":1431,"malayalam_era":1200,"nanakshahi_year":555,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Dvitīyā · Vikram 2081 Piṅgala · Śaka 1946 Krodhi"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"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 January 13, 2024 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 13, 2024 CE for Ranchi, Jharkhand: Śukla Dvitīyā, sūryodaya 06:33, sūryāsta 17:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2024-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2024-01-13","sa":"https://sa.vidhyamitra.com/city/ranchi/2024-01-13","hi":"https://hi.vidhyamitra.com/city/ranchi/2024-01-13","x-default":"https://vidhyamitra.com/city/ranchi/2024-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T21:14:27.911Z","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":"2026-05-14T21:14:27.911Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T21:14:27.911Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}