{"id":"vidhyamitra:city-day:ranchi:2011-07-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2011-07-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2011-07-21","date_display":"July 21, 2011 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":2011,"month":7,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455763.770833,"kali_year":5113,"ahargana":1867298.2708,"sun":{"sidereal_longitude":93.4611,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":342.018,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":248.557,"elapsed_within_tithi_degrees":8.557},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":342.018,"elapsed_within_degrees":8.6847},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":75.4791},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2011,"month":7,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2455763.770833,"ahargana":1867298.2708,"kali_year":5113,"ayanamsa_lahiri":24.0144,"grahas":{"sun":{"sidereal_longitude":93.953622,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"moon":{"sidereal_longitude":340.232322,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false,"latitude":4.425},"mars":{"sidereal_longitude":56.72912200000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":120.646522,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":13.71122200000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":86.50692200000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":167.34302200000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":241.5515,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":61.5515,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":"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":2011,"month":7,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455763.770833,"kali_year":5113,"ahargana":1867298.2708,"sun":{"sidereal_longitude":93.4611,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":342.018,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":248.557,"elapsed_within_tithi_degrees":8.557},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":342.018,"elapsed_within_degrees":8.6847},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":75.4791},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.425,"elongation":111.443},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.425,"opposition_distance":68.557}},"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":"05:14","sunsetLocal":"18:36","solarNoonLocal":"11:55","dayLengthHours":13.373609103225277,"dayLengthDisplay":"13 Hours 22 Mins 25 Secs","nightLengthDisplay":"10 Hours 37 Mins 35 Secs","moonriseLocal":"22:14","moonsetLocal":"10:25","rahuKala":{"name":"Rāhu Kāla","start":"13:35","end":"15:15","startHours":13.585224528491224,"endHours":15.256925666394384,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:14","end":"06:54","startHours":5.226718838975426,"endHours":6.898419976878586,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:34","end":"10:15","startHours":8.570121114781745,"endHours":10.241822252684905,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:21","end":"08:48","startHours":8.34722762972799,"endHours":8.7930145998355,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:47","end":"06:08","startHours":5.783952551609812,"endHours":6.1405821276958195,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:22","startHours":11.467736420480556,"endHours":12.359310360695574,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:27","end":"04:20","startHours":3.443570958545389,"endHours":4.335144898760408,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:07","end":"05:14","startHours":4.1122514137066535,"endHours":5.226718838975426,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"15:02","startHours":14.14245824112561,"endHours":15.034032181340628,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:24","end":"18:48","startHours":18.400327942200704,"endHours":18.800327942200703,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:36","end":"19:09","startHours":18.600327942200703,"endHours":19.15756165483509,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:21","end":"20:06","startHours":18.350327942200703,"endHours":20.100327942200703,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:22","startHours":23.467736420480556,"endHours":24.359310360695574,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:14","end":"06:54","startHours":5.226718838975426,"endHours":6.898419976878586,"quality":"auspicious"},{"name":"Roga","start":"06:54","end":"08:34","startHours":6.898419976878586,"endHours":8.570121114781745,"quality":"inauspicious"},{"name":"Udveg","start":"08:34","end":"10:15","startHours":8.570121114781745,"endHours":10.241822252684905,"quality":"inauspicious"},{"name":"Chala","start":"10:15","end":"11:55","startHours":10.241822252684905,"endHours":11.913523390588065,"quality":"neutral"},{"name":"Labha","start":"11:55","end":"13:35","startHours":11.913523390588065,"endHours":13.585224528491224,"quality":"auspicious"},{"name":"Amṛta","start":"13:35","end":"15:15","startHours":13.585224528491224,"endHours":15.256925666394384,"quality":"auspicious"},{"name":"Kāla","start":"15:15","end":"16:56","startHours":15.256925666394384,"endHours":16.928626804297544,"quality":"inauspicious"},{"name":"Śubha","start":"16:56","end":"18:36","startHours":16.928626804297544,"endHours":18.600327942200703,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:36","end":"19:56","startHours":18.600327942200703,"endHours":19.928626804297544,"quality":"auspicious"},{"name":"Kāla","start":"19:56","end":"21:15","startHours":19.928626804297544,"endHours":21.256925666394384,"quality":"inauspicious"},{"name":"Śubha","start":"21:15","end":"22:35","startHours":21.256925666394384,"endHours":22.585224528491224,"quality":"auspicious"},{"name":"Roga","start":"22:35","end":"23:55","startHours":22.585224528491224,"endHours":23.913523390588065,"quality":"inauspicious"},{"name":"Udveg","start":"23:55","end":"01:15","startHours":23.913523390588065,"endHours":25.241822252684905,"quality":"inauspicious"},{"name":"Chala","start":"01:15","end":"02:34","startHours":25.241822252684905,"endHours":26.570121114781745,"quality":"neutral"},{"name":"Labha","start":"02:34","end":"03:54","startHours":26.570121114781745,"endHours":27.898419976878586,"quality":"auspicious"},{"name":"Amṛta","start":"03:54","end":"05:14","startHours":27.898419976878586,"endHours":29.226718838975426,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:14","end":"06:14","startHours":5.226718838975426,"endHours":6.226718838975426,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:14","end":"07:14","startHours":6.226718838975426,"endHours":7.226718838975426,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:14","end":"08:14","startHours":7.226718838975426,"endHours":8.226718838975426,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:14","end":"09:14","startHours":8.226718838975426,"endHours":9.226718838975426,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:14","end":"10:14","startHours":9.226718838975426,"endHours":10.226718838975426,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:14","end":"11:14","startHours":10.226718838975426,"endHours":11.226718838975426,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:14","end":"12:14","startHours":11.226718838975426,"endHours":12.226718838975426,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:14","end":"13:14","startHours":12.226718838975426,"endHours":13.226718838975426,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:14","end":"14:14","startHours":13.226718838975426,"endHours":14.226718838975426,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:14","end":"15:14","startHours":14.226718838975426,"endHours":15.226718838975426,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:14","end":"16:14","startHours":15.226718838975426,"endHours":16.226718838975426,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:14","end":"17:14","startHours":16.226718838975426,"endHours":17.226718838975426,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:14","end":"18:14","startHours":17.226718838975426,"endHours":18.226718838975426,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:14","end":"19:14","startHours":18.226718838975426,"endHours":19.226718838975426,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:14","end":"20:14","startHours":19.226718838975426,"endHours":20.226718838975426,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:14","end":"21:14","startHours":20.226718838975426,"endHours":21.226718838975426,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:14","end":"22:14","startHours":21.226718838975426,"endHours":22.226718838975426,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:14","end":"23:14","startHours":22.226718838975426,"endHours":23.226718838975426,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:14","end":"00:14","startHours":23.226718838975426,"endHours":24.226718838975426,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:14","end":"01:14","startHours":24.226718838975426,"endHours":25.226718838975426,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:14","end":"02:14","startHours":25.226718838975426,"endHours":26.226718838975426,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:14","end":"03:14","startHours":26.226718838975426,"endHours":27.226718838975426,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:14","end":"04:14","startHours":27.226718838975426,"endHours":28.226718838975426,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:14","end":"05:14","startHours":28.226718838975426,"endHours":29.226718838975426,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.565691671586716,"eotMinutes":-6.049803435283957,"ayanamsa":24.0144}},"calendars":{"vikram_samvat":2068,"vikram_samvatsara":"Krodhi","saka_samvat":1933,"saka_samvatsara":"Khara","bengali_samvat":1418,"malayalam_era":1187,"nanakshahi_year":542,"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 Ṣaṣṭhī · Vikram 2068 Krodhi · Śaka 1933 Khara"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 July 21, 2011 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 21, 2011 CE for Ranchi, Jharkhand: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:14, sūryāsta 18:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2011-07-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2011-07-21","sa":"https://sa.vidhyamitra.com/city/ranchi/2011-07-21","hi":"https://hi.vidhyamitra.com/city/ranchi/2011-07-21","x-default":"https://vidhyamitra.com/city/ranchi/2011-07-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-03T17:05:53.966Z","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":"2026-09-03T17:05:53.966Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-03T17:05:53.966Z","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"}}}