{"id":"vidhyamitra:city-day:ranchi:2031-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2031-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2031-01-03","date_display":"January 3, 2031 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":2031,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462869.770833,"kali_year":5132,"ahargana":1874404.2708,"sun":{"sidereal_longitude":257.8607,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":13.1431,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":115.2824,"elapsed_within_tithi_degrees":7.2824},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":13.1431,"elapsed_within_degrees":13.1431},"yoga":{"number":21,"name":"Siddha","sum_longitude":271.0038},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2031,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2462869.770833,"ahargana":1874404.2708,"kali_year":5132,"ayanamsa_lahiri":24.2861,"grahas":{"sun":{"sidereal_longitude":258.154321,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":16.131821000000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false,"latitude":2.3761},"mars":{"sidereal_longitude":178.80172100000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":234.88802099999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":231.59382099999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":275.89442099999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":38.388720999999975,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":225.0415,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":45.0415,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":"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":2031,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462869.770833,"kali_year":5132,"ahargana":1874404.2708,"sun":{"sidereal_longitude":257.8607,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":13.1431,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":115.2824,"elapsed_within_tithi_degrees":7.2824},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":13.1431,"elapsed_within_degrees":13.1431},"yoga":{"number":21,"name":"Siddha","sum_longitude":271.0038},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.376,"elongation":115.282},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.376,"opposition_distance":64.718}},"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":10.735864823848742,"dayLengthDisplay":"10 Hours 44 Mins 09 Secs","nightLengthDisplay":"13 Hours 15 Mins 51 Secs","moonriseLocal":"13:16","moonsetLocal":"02:14","rahuKala":{"name":"Rāhu Kāla","start":"10:33","end":"11:53","startHours":10.547200577529875,"endHours":11.889183680510968,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:34","end":"15:55","startHours":14.573149886473153,"endHours":15.915132989454246,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:52","end":"09:12","startHours":7.863234371567691,"endHours":9.205217474548784,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:02","end":"09:23","startHours":9.026286394151304,"endHours":9.384148554946261,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:58","end":"07:15","startHours":6.968578969580295,"endHours":7.254868698216262,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:32","end":"12:15","startHours":11.531321519716009,"endHours":12.247045841305926,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:48","startHours":5.089802625406765,"endHours":5.8055269469966815,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:31","startHours":5.626595866599203,"endHours":6.521251268586598,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:41","end":"14:24","startHours":13.678494484485759,"endHours":14.394218806075674,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:03","end":"17:27","startHours":17.05711609243534,"endHours":17.45711609243534,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:15","end":"17:42","startHours":17.25711609243534,"endHours":17.704443793429036,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:00","end":"18:45","startHours":17.00711609243534,"endHours":18.75711609243534,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:32","end":"00:15","startHours":23.53132151971601,"endHours":24.247045841305926,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:31","end":"07:52","startHours":6.521251268586598,"endHours":7.863234371567691,"quality":"neutral"},{"name":"Labha","start":"07:52","end":"09:12","startHours":7.863234371567691,"endHours":9.205217474548784,"quality":"auspicious"},{"name":"Amṛta","start":"09:12","end":"10:33","startHours":9.205217474548784,"endHours":10.547200577529875,"quality":"auspicious"},{"name":"Kāla","start":"10:33","end":"11:53","startHours":10.547200577529875,"endHours":11.889183680510968,"quality":"inauspicious"},{"name":"Śubha","start":"11:53","end":"13:14","startHours":11.889183680510968,"endHours":13.23116678349206,"quality":"auspicious"},{"name":"Roga","start":"13:14","end":"14:34","startHours":13.23116678349206,"endHours":14.573149886473153,"quality":"inauspicious"},{"name":"Udveg","start":"14:34","end":"15:55","startHours":14.573149886473153,"endHours":15.915132989454246,"quality":"inauspicious"},{"name":"Chala","start":"15:55","end":"17:15","startHours":15.915132989454246,"endHours":17.25711609243534,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:15","end":"18:55","startHours":17.25711609243534,"endHours":18.915132989454246,"quality":"inauspicious"},{"name":"Udveg","start":"18:55","end":"20:34","startHours":18.915132989454246,"endHours":20.573149886473153,"quality":"inauspicious"},{"name":"Chala","start":"20:34","end":"22:14","startHours":20.573149886473153,"endHours":22.23116678349206,"quality":"neutral"},{"name":"Labha","start":"22:14","end":"23:53","startHours":22.23116678349206,"endHours":23.889183680510968,"quality":"auspicious"},{"name":"Amṛta","start":"23:53","end":"01:33","startHours":23.889183680510968,"endHours":25.54720057752988,"quality":"auspicious"},{"name":"Kāla","start":"01:33","end":"03:12","startHours":25.54720057752988,"endHours":27.205217474548782,"quality":"inauspicious"},{"name":"Śubha","start":"03:12","end":"04:52","startHours":27.205217474548782,"endHours":28.863234371567692,"quality":"auspicious"},{"name":"Roga","start":"04:52","end":"06:31","startHours":28.863234371567692,"endHours":30.521251268586596,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.521251268586598,"endHours":7.521251268586598,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.521251268586598,"endHours":8.521251268586598,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.521251268586598,"endHours":9.521251268586598,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.521251268586598,"endHours":10.521251268586598,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.521251268586598,"endHours":11.521251268586598,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.521251268586598,"endHours":12.521251268586598,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.521251268586598,"endHours":13.521251268586598,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.521251268586598,"endHours":14.521251268586598,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.521251268586598,"endHours":15.521251268586598,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.521251268586598,"endHours":16.521251268586596,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.521251268586596,"endHours":17.521251268586596,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.521251268586596,"endHours":18.521251268586596,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.521251268586596,"endHours":19.521251268586596,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.521251268586596,"endHours":20.521251268586596,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.521251268586596,"endHours":21.521251268586596,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.521251268586596,"endHours":22.521251268586596,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.521251268586596,"endHours":23.521251268586596,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.521251268586596,"endHours":24.521251268586596,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.521251268586596,"endHours":25.521251268586596,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.521251268586596,"endHours":26.521251268586596,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.521251268586596,"endHours":27.521251268586596,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.521251268586596,"endHours":28.521251268586596,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.521251268586596,"endHours":29.521251268586596,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.521251268586596,"endHours":30.521251268586596,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.85460122295917,"eotMinutes":-4.589420830658165,"ayanamsa":24.2861}},"calendars":{"vikram_samvat":2088,"vikram_samvatsara":"Raktākṣī","saka_samvat":1953,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1438,"malayalam_era":1207,"nanakshahi_year":562,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Daśamī · Vikram 2088 Raktākṣī · Śaka 1953 Virodhakṛt"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 3, 2031 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 3, 2031 CE for Ranchi, Jharkhand: Śukla Daśamī, sūryodaya 06:31, sūryāsta 17:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2031-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2031-01-03","sa":"https://sa.vidhyamitra.com/city/ranchi/2031-01-03","hi":"https://hi.vidhyamitra.com/city/ranchi/2031-01-03","x-default":"https://vidhyamitra.com/city/ranchi/2031-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T15:40:47.805Z","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":"2026-09-11T15:40:47.805Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T15:40:47.805Z","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"}}}