{"id":"vidhyamitra:city-day:ranchi:2164-07-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2164-07-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2164-07-16","date_display":"July 16, 2164 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":2164,"month":7,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511641.770833,"kali_year":5266,"ahargana":1923176.2708,"sun":{"sidereal_longitude":87.2174,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":50.3542,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":323.1368,"elapsed_within_tithi_degrees":11.1368},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":50.3542,"elapsed_within_degrees":10.3542},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":137.5716},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2164,"month":7,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511641.770833,"ahargana":1923176.2708,"kali_year":5266,"ayanamsa_lahiri":26.1515,"grahas":{"sun":{"sidereal_longitude":88.03607199999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":52.27667199999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false,"latitude":-4.2142},"mars":{"sidereal_longitude":119.92947200000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":85.392472,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":330.08797200000004,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":40.56427200000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":233.634272,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":160.8662,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":340.8662,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"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":2164,"month":7,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511641.770833,"kali_year":5266,"ahargana":1923176.2708,"sun":{"sidereal_longitude":87.2174,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":50.3542,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":323.1368,"elapsed_within_tithi_degrees":11.1368},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":50.3542,"elapsed_within_degrees":10.3542},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":137.5716},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.214,"elongation":36.863},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.214,"opposition_distance":143.137}},"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":"05:12","sunsetLocal":"18:37","solarNoonLocal":"11:54","dayLengthHours":13.421684346936921,"dayLengthDisplay":"13 Hours 25 Mins 18 Secs","nightLengthDisplay":"10 Hours 34 Mins 42 Secs","moonriseLocal":"02:47","moonsetLocal":"16:16","rahuKala":{"name":"Rāhu Kāla","start":"06:52","end":"08:33","startHours":6.874274046836602,"endHours":8.551984590203716,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:14","end":"11:54","startHours":10.229695133570832,"endHours":11.907405676937948,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:35","end":"15:16","startHours":13.585116220305064,"endHours":15.262826763672177,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:20","end":"08:47","startHours":8.328289851088101,"endHours":8.775679329319333,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:45","end":"06:07","startHours":5.755800351258525,"endHours":6.1137119338435095,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:21","startHours":11.460016198706718,"endHours":12.354795155169178,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:24","end":"04:18","startHours":3.407005590544564,"endHours":4.301784547007025,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:05","end":"05:12","startHours":4.07808980789141,"endHours":5.196563503469487,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"15:02","startHours":14.144353068094102,"endHours":15.039132024556563,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:25","end":"18:49","startHours":18.41824785040641,"endHours":18.818247850406408,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:37","end":"19:11","startHours":18.61824785040641,"endHours":19.177484698195446,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:22","end":"20:07","startHours":18.36824785040641,"endHours":20.11824785040641,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:21","startHours":23.460016198706718,"endHours":24.354795155169178,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:12","end":"06:52","startHours":5.196563503469487,"endHours":6.874274046836602,"quality":"auspicious"},{"name":"Kāla","start":"06:52","end":"08:33","startHours":6.874274046836602,"endHours":8.551984590203716,"quality":"inauspicious"},{"name":"Śubha","start":"08:33","end":"10:14","startHours":8.551984590203716,"endHours":10.229695133570832,"quality":"auspicious"},{"name":"Roga","start":"10:14","end":"11:54","startHours":10.229695133570832,"endHours":11.907405676937948,"quality":"inauspicious"},{"name":"Udveg","start":"11:54","end":"13:35","startHours":11.907405676937948,"endHours":13.585116220305064,"quality":"inauspicious"},{"name":"Chala","start":"13:35","end":"15:16","startHours":13.585116220305064,"endHours":15.262826763672177,"quality":"neutral"},{"name":"Labha","start":"15:16","end":"16:56","startHours":15.262826763672177,"endHours":16.940537307039293,"quality":"auspicious"},{"name":"Amṛta","start":"16:56","end":"18:37","startHours":16.940537307039293,"endHours":18.61824785040641,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:37","end":"19:56","startHours":18.61824785040641,"endHours":19.940537307039293,"quality":"neutral"},{"name":"Labha","start":"19:56","end":"21:16","startHours":19.940537307039293,"endHours":21.26282676367218,"quality":"auspicious"},{"name":"Amṛta","start":"21:16","end":"22:35","startHours":21.26282676367218,"endHours":22.585116220305064,"quality":"auspicious"},{"name":"Kāla","start":"22:35","end":"23:54","startHours":22.585116220305064,"endHours":23.907405676937948,"quality":"inauspicious"},{"name":"Śubha","start":"23:54","end":"01:14","startHours":23.907405676937948,"endHours":25.229695133570832,"quality":"auspicious"},{"name":"Roga","start":"01:14","end":"02:33","startHours":25.229695133570832,"endHours":26.551984590203716,"quality":"inauspicious"},{"name":"Udveg","start":"02:33","end":"03:52","startHours":26.551984590203716,"endHours":27.874274046836604,"quality":"inauspicious"},{"name":"Chala","start":"03:52","end":"05:12","startHours":27.874274046836604,"endHours":29.196563503469488,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:12","end":"06:12","startHours":5.196563503469487,"endHours":6.196563503469487,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:12","end":"07:12","startHours":6.196563503469487,"endHours":7.196563503469487,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:12","end":"08:12","startHours":7.196563503469487,"endHours":8.196563503469488,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:12","end":"09:12","startHours":8.196563503469488,"endHours":9.196563503469488,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:12","end":"10:12","startHours":9.196563503469488,"endHours":10.196563503469488,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:12","end":"11:12","startHours":10.196563503469488,"endHours":11.196563503469488,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:12","end":"12:12","startHours":11.196563503469488,"endHours":12.196563503469488,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:12","end":"13:12","startHours":12.196563503469488,"endHours":13.196563503469488,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:12","end":"14:12","startHours":13.196563503469488,"endHours":14.196563503469488,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:12","end":"15:12","startHours":14.196563503469488,"endHours":15.196563503469488,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:12","end":"16:12","startHours":15.196563503469488,"endHours":16.196563503469488,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:12","end":"17:12","startHours":16.196563503469488,"endHours":17.196563503469488,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:12","end":"18:12","startHours":17.196563503469488,"endHours":18.196563503469488,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:12","end":"19:12","startHours":18.196563503469488,"endHours":19.196563503469488,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:12","end":"20:12","startHours":19.196563503469488,"endHours":20.196563503469488,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:12","end":"21:12","startHours":20.196563503469488,"endHours":21.196563503469488,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:12","end":"22:12","startHours":21.196563503469488,"endHours":22.196563503469488,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:12","end":"23:12","startHours":22.196563503469488,"endHours":23.196563503469488,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:12","end":"00:12","startHours":23.196563503469488,"endHours":24.196563503469488,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:12","end":"01:12","startHours":24.196563503469488,"endHours":25.196563503469488,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:12","end":"02:12","startHours":25.196563503469488,"endHours":26.196563503469488,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:12","end":"03:12","startHours":26.196563503469488,"endHours":27.196563503469488,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:12","end":"04:12","startHours":27.196563503469488,"endHours":28.196563503469488,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:12","end":"05:12","startHours":28.196563503469488,"endHours":29.196563503469488,"planetary_lord":"Venus"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.27318408714949,"eotMinutes":-5.682740616276977,"ayanamsa":26.1515}},"calendars":{"vikram_samvat":2221,"vikram_samvatsara":"Īśvara","saka_samvat":2086,"saka_samvatsara":"Raktākṣī","bengali_samvat":1571,"malayalam_era":1340,"nanakshahi_year":695,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Dvādaśī · Vikram 2221 Īśvara · Śaka 2086 Raktākṣī"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","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 July 16, 2164 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 16, 2164 CE for Ranchi, Jharkhand: Kṛṣṇa Dvādaśī, sūryodaya 05:12, sūryāsta 18:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2164-07-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2164-07-16","sa":"https://sa.vidhyamitra.com/city/ranchi/2164-07-16","hi":"https://hi.vidhyamitra.com/city/ranchi/2164-07-16","x-default":"https://vidhyamitra.com/city/ranchi/2164-07-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T00:42:12.063Z","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":"2026-06-02T00:42:12.063Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T00:42:12.063Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}