{"id":"vidhyamitra:city-day:ranchi:2142-07-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2142-07-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2142-07-20","date_display":"July 20, 2142 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":2142,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2503609.770833,"kali_year":5244,"ahargana":1915144.2708,"sun":{"sidereal_longitude":90.7153,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":50.9429,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":320.2276,"elapsed_within_tithi_degrees":8.2276},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":50.9429,"elapsed_within_degrees":10.9429},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":141.6582},"karana":{"half_tithi_index":53,"name":"Taitila"},"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":2142,"month":7,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2503609.770833,"ahargana":1915144.2708,"kali_year":5244,"ayanamsa_lahiri":25.8443,"grahas":{"sun":{"sidereal_longitude":91.50575300000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":49.830753000000016,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false,"latitude":-0.3529},"mars":{"sidereal_longitude":204.290253,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":114.20245299999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":27.849053000000026,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":73.13545299999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":326.3816529999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":226.4402,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":46.4402,"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":"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":2142,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2503609.770833,"kali_year":5244,"ahargana":1915144.2708,"sun":{"sidereal_longitude":90.7153,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":50.9429,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":320.2276,"elapsed_within_tithi_degrees":8.2276},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":50.9429,"elapsed_within_degrees":10.9429},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":141.6582},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.353,"elongation":39.772},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.353,"opposition_distance":140.228}},"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":"05:13","sunsetLocal":"18:36","solarNoonLocal":"11:55","dayLengthHours":13.381855535862037,"dayLengthDisplay":"13 Hours 22 Mins 55 Secs","nightLengthDisplay":"10 Hours 37 Mins 05 Secs","moonriseLocal":"02:24","moonsetLocal":"15:52","rahuKala":{"name":"Rāhu Kāla","start":"10:14","end":"11:55","startHours":10.239865078269867,"endHours":11.912597020252623,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:15","end":"16:56","startHours":15.25806090421813,"endHours":16.930792846200887,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:54","end":"08:34","startHours":6.894401194304358,"endHours":8.567133136287111,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:21","end":"08:47","startHours":8.344102210689412,"endHours":8.790164061884813,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:47","end":"06:08","startHours":5.779246566315854,"endHours":6.136096047272176,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:22","startHours":11.466535169057222,"endHours":12.358658871448023,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:26","end":"04:20","startHours":3.437421847539998,"endHours":4.329545549930801,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:06","end":"05:13","startHours":4.1065146243331,"endHours":5.221669252321603,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"15:02","startHours":14.142906276229628,"endHours":15.03502997862043,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:24","end":"18:48","startHours":18.403524788183642,"endHours":18.80352478818364,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:36","end":"19:10","startHours":18.60352478818364,"endHours":19.161102102177892,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:21","end":"20:06","startHours":18.35352478818364,"endHours":20.10352478818364,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:22","startHours":23.46653516905722,"endHours":24.358658871448025,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:13","end":"06:54","startHours":5.221669252321603,"endHours":6.894401194304358,"quality":"neutral"},{"name":"Labha","start":"06:54","end":"08:34","startHours":6.894401194304358,"endHours":8.567133136287111,"quality":"auspicious"},{"name":"Amṛta","start":"08:34","end":"10:14","startHours":8.567133136287111,"endHours":10.239865078269867,"quality":"auspicious"},{"name":"Kāla","start":"10:14","end":"11:55","startHours":10.239865078269867,"endHours":11.912597020252623,"quality":"inauspicious"},{"name":"Śubha","start":"11:55","end":"13:35","startHours":11.912597020252623,"endHours":13.585328962235376,"quality":"auspicious"},{"name":"Roga","start":"13:35","end":"15:15","startHours":13.585328962235376,"endHours":15.25806090421813,"quality":"inauspicious"},{"name":"Udveg","start":"15:15","end":"16:56","startHours":15.25806090421813,"endHours":16.930792846200887,"quality":"inauspicious"},{"name":"Chala","start":"16:56","end":"18:36","startHours":16.930792846200887,"endHours":18.60352478818364,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:36","end":"19:56","startHours":18.60352478818364,"endHours":19.930792846200887,"quality":"inauspicious"},{"name":"Udveg","start":"19:56","end":"21:15","startHours":19.930792846200887,"endHours":21.258060904218134,"quality":"inauspicious"},{"name":"Chala","start":"21:15","end":"22:35","startHours":21.258060904218134,"endHours":22.585328962235376,"quality":"neutral"},{"name":"Labha","start":"22:35","end":"23:55","startHours":22.585328962235376,"endHours":23.912597020252623,"quality":"auspicious"},{"name":"Amṛta","start":"23:55","end":"01:14","startHours":23.912597020252623,"endHours":25.23986507826987,"quality":"auspicious"},{"name":"Kāla","start":"01:14","end":"02:34","startHours":25.23986507826987,"endHours":26.56713313628711,"quality":"inauspicious"},{"name":"Śubha","start":"02:34","end":"03:54","startHours":26.56713313628711,"endHours":27.894401194304358,"quality":"auspicious"},{"name":"Roga","start":"03:54","end":"05:13","startHours":27.894401194304358,"endHours":29.221669252321604,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:13","end":"06:13","startHours":5.221669252321603,"endHours":6.221669252321603,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:13","end":"07:13","startHours":6.221669252321603,"endHours":7.221669252321603,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:13","end":"08:13","startHours":7.221669252321603,"endHours":8.221669252321604,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:13","end":"09:13","startHours":8.221669252321604,"endHours":9.221669252321604,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:13","end":"10:13","startHours":9.221669252321604,"endHours":10.221669252321604,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:13","end":"11:13","startHours":10.221669252321604,"endHours":11.221669252321604,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:13","end":"12:13","startHours":11.221669252321604,"endHours":12.221669252321604,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:13","end":"13:13","startHours":12.221669252321604,"endHours":13.221669252321604,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:13","end":"14:13","startHours":13.221669252321604,"endHours":14.221669252321604,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:13","end":"15:13","startHours":14.221669252321604,"endHours":15.221669252321604,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:13","end":"16:13","startHours":15.221669252321604,"endHours":16.221669252321604,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:13","end":"17:13","startHours":16.221669252321604,"endHours":17.221669252321604,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:13","end":"18:13","startHours":17.221669252321604,"endHours":18.221669252321604,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:13","end":"19:13","startHours":18.221669252321604,"endHours":19.221669252321604,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:13","end":"20:13","startHours":19.221669252321604,"endHours":20.221669252321604,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:13","end":"21:13","startHours":20.221669252321604,"endHours":21.221669252321604,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:13","end":"22:13","startHours":21.221669252321604,"endHours":22.221669252321604,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:13","end":"23:13","startHours":22.221669252321604,"endHours":23.221669252321604,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:13","end":"00:13","startHours":23.221669252321604,"endHours":24.221669252321604,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:13","end":"01:13","startHours":24.221669252321604,"endHours":25.221669252321604,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:13","end":"02:13","startHours":25.221669252321604,"endHours":26.221669252321604,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:13","end":"03:13","startHours":26.221669252321604,"endHours":27.221669252321604,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:13","end":"04:13","startHours":27.221669252321604,"endHours":28.221669252321604,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:13","end":"05:13","startHours":28.221669252321604,"endHours":29.221669252321604,"planetary_lord":"Mars"}],"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":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.68760233597547,"eotMinutes":-5.99422121515736,"ayanamsa":25.8443}},"calendars":{"vikram_samvat":2199,"vikram_samvatsara":"Rākṣasa","saka_samvat":2064,"saka_samvatsara":"Śubhakṛt","bengali_samvat":1549,"malayalam_era":1318,"nanakshahi_year":673,"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":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Dvādaśī · Vikram 2199 Rākṣasa · Śaka 2064 Śubhakṛt"},"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":[{"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 20, 2142 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 20, 2142 CE for Ranchi, Jharkhand: Kṛṣṇa Dvādaśī, sūryodaya 05:13, sūryāsta 18:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2142-07-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2142-07-20","sa":"https://sa.vidhyamitra.com/city/ranchi/2142-07-20","hi":"https://hi.vidhyamitra.com/city/ranchi/2142-07-20","x-default":"https://vidhyamitra.com/city/ranchi/2142-07-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T06:24:58.342Z","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":"2026-06-02T06:24:58.342Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T06:24:58.342Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}