{"id":"vidhyamitra:city-day:ranchi:2018-01-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2018-01-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2018-01-02","date_display":"January 2, 2018 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":2018,"month":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458120.770833,"kali_year":5119,"ahargana":1869655.2708,"sun":{"sidereal_longitude":257.2066,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":76.0895,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":178.8828,"elapsed_within_tithi_degrees":10.8828},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":76.0895,"elapsed_within_degrees":9.4228},"yoga":{"number":25,"name":"Brahma","sum_longitude":333.2961},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2018,"month":1,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458120.770833,"ahargana":1869655.2708,"kali_year":5119,"ayanamsa_lahiri":24.1045,"grahas":{"sun":{"sidereal_longitude":257.475368,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":76.56546800000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":-2.9254},"mars":{"sidereal_longitude":200.40886799999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":234.50266799999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":202.77196800000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":255.49536799999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":247.25956799999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":116.6663,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":296.6663,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"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":2018,"month":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458120.770833,"kali_year":5119,"ahargana":1869655.2708,"sun":{"sidereal_longitude":257.2066,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":76.0895,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":178.8828,"elapsed_within_tithi_degrees":10.8828},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":76.0895,"elapsed_within_degrees":9.4228},"yoga":{"number":25,"name":"Brahma","sum_longitude":333.2961},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.925,"elongation":178.883},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.925,"opposition_distance":1.117}},"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":"06:31","sunsetLocal":"17:15","solarNoonLocal":"11:53","dayLengthHours":10.730625742442484,"dayLengthDisplay":"10 Hours 43 Mins 50 Secs","nightLengthDisplay":"13 Hours 16 Mins 10 Secs","moonriseLocal":"17:04","moonsetLocal":"06:34","rahuKala":{"name":"Rāhu Kāla","start":"14:34","end":"15:54","startHours":14.564511603699845,"endHours":15.905839821505154,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:12","end":"10:32","startHours":9.199198732478603,"endHours":10.540526950283912,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:53","end":"13:13","startHours":11.881855168089224,"endHours":13.223183385894533,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:23","startHours":9.020354970104561,"endHours":9.378042494852643,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:58","end":"07:15","startHours":6.963651702803085,"endHours":7.249801722601551,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:14","startHours":11.52416764334114,"endHours":12.239542692837308,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:48","startHours":5.08579219787565,"endHours":5.801167247371816,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:37","end":"06:31","startHours":5.622323484997774,"endHours":6.516542296867981,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:40","end":"14:23","startHours":13.670292791829638,"endHours":14.385667841325803,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:03","end":"17:27","startHours":17.047168039310467,"endHours":17.447168039310466,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:15","end":"17:42","startHours":17.247168039310466,"endHours":17.694277445245568,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:00","end":"18:45","startHours":16.997168039310466,"endHours":18.747168039310466,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:14","startHours":23.52416764334114,"endHours":24.239542692837308,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:31","end":"07:51","startHours":6.516542296867981,"endHours":7.857870514673292,"quality":"inauspicious"},{"name":"Udveg","start":"07:51","end":"09:12","startHours":7.857870514673292,"endHours":9.199198732478603,"quality":"inauspicious"},{"name":"Chala","start":"09:12","end":"10:32","startHours":9.199198732478603,"endHours":10.540526950283912,"quality":"neutral"},{"name":"Labha","start":"10:32","end":"11:53","startHours":10.540526950283912,"endHours":11.881855168089224,"quality":"auspicious"},{"name":"Amṛta","start":"11:53","end":"13:13","startHours":11.881855168089224,"endHours":13.223183385894533,"quality":"auspicious"},{"name":"Kāla","start":"13:13","end":"14:34","startHours":13.223183385894533,"endHours":14.564511603699845,"quality":"inauspicious"},{"name":"Śubha","start":"14:34","end":"15:54","startHours":14.564511603699845,"endHours":15.905839821505154,"quality":"auspicious"},{"name":"Roga","start":"15:54","end":"17:15","startHours":15.905839821505154,"endHours":17.247168039310466,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:15","end":"18:54","startHours":17.247168039310466,"endHours":18.905839821505154,"quality":"inauspicious"},{"name":"Śubha","start":"18:54","end":"20:34","startHours":18.905839821505154,"endHours":20.564511603699845,"quality":"auspicious"},{"name":"Roga","start":"20:34","end":"22:13","startHours":20.564511603699845,"endHours":22.223183385894536,"quality":"inauspicious"},{"name":"Udveg","start":"22:13","end":"23:53","startHours":22.223183385894536,"endHours":23.881855168089224,"quality":"inauspicious"},{"name":"Chala","start":"23:53","end":"01:32","startHours":23.881855168089224,"endHours":25.540526950283912,"quality":"neutral"},{"name":"Labha","start":"01:32","end":"03:12","startHours":25.540526950283912,"endHours":27.199198732478603,"quality":"auspicious"},{"name":"Amṛta","start":"03:12","end":"04:51","startHours":27.199198732478603,"endHours":28.857870514673294,"quality":"auspicious"},{"name":"Kāla","start":"04:51","end":"06:31","startHours":28.857870514673294,"endHours":30.516542296867982,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.516542296867981,"endHours":7.516542296867981,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.516542296867981,"endHours":8.516542296867982,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.516542296867982,"endHours":9.516542296867982,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.516542296867982,"endHours":10.516542296867982,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.516542296867982,"endHours":11.516542296867982,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.516542296867982,"endHours":12.516542296867982,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.516542296867982,"endHours":13.516542296867982,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.516542296867982,"endHours":14.516542296867982,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.516542296867982,"endHours":15.516542296867982,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.516542296867982,"endHours":16.516542296867982,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.516542296867982,"endHours":17.516542296867982,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.516542296867982,"endHours":18.516542296867982,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.516542296867982,"endHours":19.516542296867982,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.516542296867982,"endHours":20.516542296867982,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.516542296867982,"endHours":21.516542296867982,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.516542296867982,"endHours":22.516542296867982,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.516542296867982,"endHours":23.516542296867982,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.516542296867982,"endHours":24.516542296867982,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.516542296867982,"endHours":25.516542296867982,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.516542296867982,"endHours":26.516542296867982,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.516542296867982,"endHours":27.516542296867982,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.516542296867982,"endHours":28.516542296867982,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.516542296867982,"endHours":29.516542296867982,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.516542296867982,"endHours":30.516542296867982,"planetary_lord":"Saturn"}],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"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":-22.93191136734926,"eotMinutes":-4.149710085353452,"ayanamsa":24.1045}},"calendars":{"vikram_samvat":2075,"vikram_samvatsara":"Virodhakṛt","saka_samvat":1940,"saka_samvatsara":"Vilambī","bengali_samvat":1425,"malayalam_era":1194,"nanakshahi_year":549,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Pūrṇimā · Vikram 2075 Virodhakṛt · Śaka 1940 Vilambī"},"festivals":[{"id":"paush-purnima","name":"Pauṣa Pūrṇimā (Śākambharī Devī Jayantī)","name_sanskrit":"पौष पूर्णिमा","tradition":"Pan-Hindu","associated_deity":"Devī Śākambharī","significance":"Manifestation of Devī Śākambharī (vegetation-mother).","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Pauṣa"},"precedence":3},{"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","relevance":0.5}]},"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 2, 2018 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 2, 2018 CE for Ranchi, Jharkhand: Śukla Pūrṇimā, sūryodaya 06:31, sūryāsta 17:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2018-01-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2018-01-02","sa":"https://sa.vidhyamitra.com/city/ranchi/2018-01-02","hi":"https://hi.vidhyamitra.com/city/ranchi/2018-01-02","x-default":"https://vidhyamitra.com/city/ranchi/2018-01-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T12:17:14.575Z","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":"2026-05-15T12:17:14.575Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T12:17:14.575Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}