{"id":"vidhyamitra:city-day:ranchi:2170-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2170-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2170-07-31","date_display":"July 31, 2170 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":2170,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513847.770833,"kali_year":5272,"ahargana":1925382.2708,"sun":{"sidereal_longitude":100.9164,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":319.0267,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.1103,"elapsed_within_tithi_degrees":2.1103},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":319.0267,"elapsed_within_degrees":12.3601},"yoga":{"number":5,"name":"Śobhana","sum_longitude":59.9431},"karana":{"half_tithi_index":36,"name":"Bava"},"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":2170,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513847.770833,"ahargana":1925382.2708,"kali_year":5272,"ayanamsa_lahiri":26.2358,"grahas":{"sun":{"sidereal_longitude":101.84378600000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":316.8192859999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false,"latitude":-4.4825},"mars":{"sidereal_longitude":169.15298600000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":93.69538599999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":139.891486,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":141.14448600000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":306.887386,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":43.9817,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":223.9817,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":"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":2170,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513847.770833,"kali_year":5272,"ahargana":1925382.2708,"sun":{"sidereal_longitude":100.9164,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":319.0267,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.1103,"elapsed_within_tithi_degrees":2.1103},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":319.0267,"elapsed_within_degrees":12.3601},"yoga":{"number":5,"name":"Śobhana","sum_longitude":59.9431},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.483,"elongation":141.89},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.483,"opposition_distance":38.11}},"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":"05:18","sunsetLocal":"18:31","solarNoonLocal":"11:55","dayLengthHours":13.219404143217233,"dayLengthDisplay":"13 Hours 13 Mins 10 Secs","nightLengthDisplay":"10 Hours 46 Mins 50 Secs","moonriseLocal":"20:24","moonsetLocal":"08:06","rahuKala":{"name":"Rāhu Kāla","start":"15:13","end":"16:52","startHours":15.218733944343487,"endHours":16.871159462245643,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:37","end":"10:16","startHours":8.609031872734871,"endHours":10.261457390637027,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:55","end":"13:34","startHours":11.913882908539179,"endHours":13.566308426441335,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:23","end":"08:50","startHours":8.388708470347918,"endHours":8.829355275121825,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:51","end":"06:12","startHours":5.854989342897948,"endHours":6.207506786717074,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:21","startHours":11.473236103765272,"endHours":12.354529713313086,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:32","end":"04:25","startHours":3.5415936178349323,"endHours":4.422887227382748,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:12","end":"05:18","startHours":4.202563824995794,"endHours":5.304180836930564,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"15:00","startHours":14.11711693240872,"endHours":14.998410541956536,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:19","end":"18:43","startHours":18.323584980147796,"endHours":18.723584980147795,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:31","end":"19:04","startHours":18.523584980147795,"endHours":19.07439348611518,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:16","end":"20:01","startHours":18.273584980147795,"endHours":20.023584980147795,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:21","startHours":23.47323610376527,"endHours":24.354529713313088,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:18","end":"06:57","startHours":5.304180836930564,"endHours":6.956606354832718,"quality":"inauspicious"},{"name":"Udveg","start":"06:57","end":"08:37","startHours":6.956606354832718,"endHours":8.609031872734871,"quality":"inauspicious"},{"name":"Chala","start":"08:37","end":"10:16","startHours":8.609031872734871,"endHours":10.261457390637027,"quality":"neutral"},{"name":"Labha","start":"10:16","end":"11:55","startHours":10.261457390637027,"endHours":11.913882908539179,"quality":"auspicious"},{"name":"Amṛta","start":"11:55","end":"13:34","startHours":11.913882908539179,"endHours":13.566308426441335,"quality":"auspicious"},{"name":"Kāla","start":"13:34","end":"15:13","startHours":13.566308426441335,"endHours":15.218733944343487,"quality":"inauspicious"},{"name":"Śubha","start":"15:13","end":"16:52","startHours":15.218733944343487,"endHours":16.871159462245643,"quality":"auspicious"},{"name":"Roga","start":"16:52","end":"18:31","startHours":16.871159462245643,"endHours":18.523584980147795,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:31","end":"19:52","startHours":18.523584980147795,"endHours":19.871159462245643,"quality":"inauspicious"},{"name":"Śubha","start":"19:52","end":"21:13","startHours":19.871159462245643,"endHours":21.218733944343487,"quality":"auspicious"},{"name":"Roga","start":"21:13","end":"22:34","startHours":21.218733944343487,"endHours":22.56630842644133,"quality":"inauspicious"},{"name":"Udveg","start":"22:34","end":"23:55","startHours":22.56630842644133,"endHours":23.91388290853918,"quality":"inauspicious"},{"name":"Chala","start":"23:55","end":"01:16","startHours":23.91388290853918,"endHours":25.261457390637027,"quality":"neutral"},{"name":"Labha","start":"01:16","end":"02:37","startHours":25.261457390637027,"endHours":26.60903187273487,"quality":"auspicious"},{"name":"Amṛta","start":"02:37","end":"03:57","startHours":26.60903187273487,"endHours":27.956606354832715,"quality":"auspicious"},{"name":"Kāla","start":"03:57","end":"05:18","startHours":27.956606354832715,"endHours":29.304180836930563,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:18","end":"06:18","startHours":5.304180836930564,"endHours":6.304180836930564,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:18","end":"07:18","startHours":6.304180836930564,"endHours":7.304180836930564,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:18","end":"08:18","startHours":7.304180836930564,"endHours":8.304180836930563,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:18","end":"09:18","startHours":8.304180836930563,"endHours":9.304180836930563,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:18","end":"10:18","startHours":9.304180836930563,"endHours":10.304180836930563,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:18","end":"11:18","startHours":10.304180836930563,"endHours":11.304180836930563,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:18","end":"12:18","startHours":11.304180836930563,"endHours":12.304180836930563,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:18","end":"13:18","startHours":12.304180836930563,"endHours":13.304180836930563,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:18","end":"14:18","startHours":13.304180836930563,"endHours":14.304180836930563,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:18","end":"15:18","startHours":14.304180836930563,"endHours":15.304180836930563,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:18","end":"16:18","startHours":15.304180836930563,"endHours":16.304180836930563,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:18","end":"17:18","startHours":16.304180836930563,"endHours":17.304180836930563,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:18","end":"18:18","startHours":17.304180836930563,"endHours":18.304180836930563,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:18","end":"19:18","startHours":18.304180836930563,"endHours":19.304180836930563,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:18","end":"20:18","startHours":19.304180836930563,"endHours":20.304180836930563,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:18","end":"21:18","startHours":20.304180836930563,"endHours":21.304180836930563,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:18","end":"22:18","startHours":21.304180836930563,"endHours":22.304180836930563,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:18","end":"23:18","startHours":22.304180836930563,"endHours":23.304180836930563,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:18","end":"00:18","startHours":23.304180836930563,"endHours":24.304180836930563,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:18","end":"01:18","startHours":24.304180836930563,"endHours":25.304180836930563,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:18","end":"02:18","startHours":25.304180836930563,"endHours":26.304180836930563,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:18","end":"03:18","startHours":26.304180836930563,"endHours":27.304180836930563,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:18","end":"04:18","startHours":27.304180836930563,"endHours":28.304180836930563,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:18","end":"05:18","startHours":28.304180836930563,"endHours":29.304180836930563,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.244764364567676,"eotMinutes":-6.071374512350812,"ayanamsa":26.2358}},"calendars":{"vikram_samvat":2227,"vikram_samvatsara":"Subhānu","saka_samvat":2092,"saka_samvatsara":"Pramoda","bengali_samvat":1577,"malayalam_era":1346,"nanakshahi_year":701,"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 Caturthī · Vikram 2227 Subhānu · Śaka 2092 Pramoda"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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 July 31, 2170 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 31, 2170 CE for Ranchi, Jharkhand: Kṛṣṇa Caturthī, sūryodaya 05:18, sūryāsta 18:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2170-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2170-07-31","sa":"https://sa.vidhyamitra.com/city/ranchi/2170-07-31","hi":"https://hi.vidhyamitra.com/city/ranchi/2170-07-31","x-default":"https://vidhyamitra.com/city/ranchi/2170-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T07:47:37.847Z","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":"2026-06-03T07:47:37.847Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T07:47:37.847Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}