{"id":"vidhyamitra:city-day:ranchi:2010-01-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2010-01-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2010-01-05","date_display":"January 5, 2010 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":2010,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455201.770833,"kali_year":5111,"ahargana":1866736.2708,"sun":{"sidereal_longitude":260.363,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":135.9752,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":235.6122,"elapsed_within_tithi_degrees":7.6122},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":135.9752,"elapsed_within_degrees":2.6419},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":36.3382},"karana":{"half_tithi_index":39,"name":"Taitila"},"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":2010,"month":1,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2455201.770833,"ahargana":1866736.2708,"kali_year":5111,"ayanamsa_lahiri":23.9929,"grahas":{"sun":{"sidereal_longitude":260.58549500000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":139.53889500000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false,"latitude":-3.1606},"mars":{"sidereal_longitude":113.94369499999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":259.8268949999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":303.45359499999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":258.82539499999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":160.35989500000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":271.329,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":91.329,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","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":"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":2010,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455201.770833,"kali_year":5111,"ahargana":1866736.2708,"sun":{"sidereal_longitude":260.363,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":135.9752,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":235.6122,"elapsed_within_tithi_degrees":7.6122},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":135.9752,"elapsed_within_degrees":2.6419},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":36.3382},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.161,"elongation":124.388},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.161,"opposition_distance":55.612}},"eclipse_window_40days":[{"offset_days":-4,"type":"lunar","occurs":true,"moon_latitude":1.039,"opposition_distance":1.922},{"offset_days":10,"type":"solar","occurs":true,"moon_latitude":-0.153,"elongation":1.79}]},"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":"06:32","sunsetLocal":"17:17","solarNoonLocal":"11:54","dayLengthHours":10.750427640878478,"dayLengthDisplay":"10 Hours 45 Mins 02 Secs","nightLengthDisplay":"13 Hours 14 Mins 58 Secs","moonriseLocal":"21:36","moonsetLocal":"10:04","rahuKala":{"name":"Rāhu Kāla","start":"14:35","end":"15:56","startHours":14.59117975395567,"endHours":15.934983209065479,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:13","end":"10:34","startHours":9.215965933516431,"endHours":10.55976938862624,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:54","end":"13:15","startHours":11.90357284373605,"endHours":13.247376298845861,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:02","end":"09:24","startHours":9.03679213950179,"endHours":9.395139727531072,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:16","startHours":6.9762935083334146,"endHours":7.262971578756841,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:33","end":"12:16","startHours":11.545225255706768,"endHours":12.261920431765333,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.094968671179681,"endHours":5.811663847238247,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:32","startHours":5.632490053223605,"endHours":6.528359023296812,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:42","end":"14:25","startHours":13.695310783882462,"endHours":14.412005959941027,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:05","end":"17:29","startHours":17.07878666417529,"endHours":17.47878666417529,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:17","end":"17:44","startHours":17.27878666417529,"endHours":17.726721149211894,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:02","end":"18:47","startHours":17.02878666417529,"endHours":18.77878666417529,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:33","end":"00:16","startHours":23.545225255706768,"endHours":24.261920431765333,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:32","end":"07:52","startHours":6.528359023296812,"endHours":7.872162478406621,"quality":"inauspicious"},{"name":"Udveg","start":"07:52","end":"09:13","startHours":7.872162478406621,"endHours":9.215965933516431,"quality":"inauspicious"},{"name":"Chala","start":"09:13","end":"10:34","startHours":9.215965933516431,"endHours":10.55976938862624,"quality":"neutral"},{"name":"Labha","start":"10:34","end":"11:54","startHours":10.55976938862624,"endHours":11.90357284373605,"quality":"auspicious"},{"name":"Amṛta","start":"11:54","end":"13:15","startHours":11.90357284373605,"endHours":13.247376298845861,"quality":"auspicious"},{"name":"Kāla","start":"13:15","end":"14:35","startHours":13.247376298845861,"endHours":14.59117975395567,"quality":"inauspicious"},{"name":"Śubha","start":"14:35","end":"15:56","startHours":14.59117975395567,"endHours":15.934983209065479,"quality":"auspicious"},{"name":"Roga","start":"15:56","end":"17:17","startHours":15.934983209065479,"endHours":17.27878666417529,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:17","end":"18:56","startHours":17.27878666417529,"endHours":18.93498320906548,"quality":"inauspicious"},{"name":"Śubha","start":"18:56","end":"20:35","startHours":18.93498320906548,"endHours":20.59117975395567,"quality":"auspicious"},{"name":"Roga","start":"20:35","end":"22:15","startHours":20.59117975395567,"endHours":22.24737629884586,"quality":"inauspicious"},{"name":"Udveg","start":"22:15","end":"23:54","startHours":22.24737629884586,"endHours":23.90357284373605,"quality":"inauspicious"},{"name":"Chala","start":"23:54","end":"01:34","startHours":23.90357284373605,"endHours":25.55976938862624,"quality":"neutral"},{"name":"Labha","start":"01:34","end":"03:13","startHours":25.55976938862624,"endHours":27.21596593351643,"quality":"auspicious"},{"name":"Amṛta","start":"03:13","end":"04:52","startHours":27.21596593351643,"endHours":28.872162478406622,"quality":"auspicious"},{"name":"Kāla","start":"04:52","end":"06:32","startHours":28.872162478406622,"endHours":30.52835902329681,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.528359023296812,"endHours":7.528359023296812,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.528359023296812,"endHours":8.528359023296812,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.528359023296812,"endHours":9.528359023296812,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.528359023296812,"endHours":10.528359023296812,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.528359023296812,"endHours":11.528359023296812,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.528359023296812,"endHours":12.528359023296812,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.528359023296812,"endHours":13.528359023296812,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.528359023296812,"endHours":14.528359023296812,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.528359023296812,"endHours":15.528359023296812,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.528359023296812,"endHours":16.52835902329681,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.52835902329681,"endHours":17.52835902329681,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.52835902329681,"endHours":18.52835902329681,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.52835902329681,"endHours":19.52835902329681,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.52835902329681,"endHours":20.52835902329681,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.52835902329681,"endHours":21.52835902329681,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.52835902329681,"endHours":22.52835902329681,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.52835902329681,"endHours":23.52835902329681,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.52835902329681,"endHours":24.52835902329681,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.52835902329681,"endHours":25.52835902329681,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.52835902329681,"endHours":26.52835902329681,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.52835902329681,"endHours":27.52835902329681,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.52835902329681,"endHours":28.52835902329681,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.52835902329681,"endHours":29.52835902329681,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.52835902329681,"endHours":30.52835902329681,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Siddhi","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":-22.639216301799067,"eotMinutes":-5.452770624163118,"ayanamsa":23.9929}},"calendars":{"vikram_samvat":2067,"vikram_samvatsara":"Śobhana","saka_samvat":1932,"saka_samvatsara":"Vikṛti","bengali_samvat":1417,"malayalam_era":1186,"nanakshahi_year":541,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","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":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Pañcamī · Vikram 2067 Śobhana · Śaka 1932 Vikṛti"},"festivals":[],"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":[]},"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 5, 2010 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 5, 2010 CE for Ranchi, Jharkhand: Kṛṣṇa Pañcamī, sūryodaya 06:32, sūryāsta 17:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2010-01-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2010-01-05","sa":"https://sa.vidhyamitra.com/city/ranchi/2010-01-05","hi":"https://hi.vidhyamitra.com/city/ranchi/2010-01-05","x-default":"https://vidhyamitra.com/city/ranchi/2010-01-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-23T14:38:19.619Z","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":"2026-09-23T14:38:19.619Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-23T14:38:19.619Z","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"}}}