{"id":"vidhyamitra:city-day:ranchi:2137-08-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2137-08-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2137-08-31","date_display":"August 31, 2137 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":2137,"month":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501825.770833,"kali_year":5239,"ahargana":1913360.2708,"sun":{"sidereal_longitude":131.0437,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":313.2923,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":182.2487,"elapsed_within_tithi_degrees":2.2487},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":313.2923,"elapsed_within_degrees":6.6257},"yoga":{"number":7,"name":"Sukarma","sum_longitude":84.336},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2137,"month":8,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2501825.770833,"ahargana":1913360.2708,"kali_year":5239,"ayanamsa_lahiri":25.7761,"grahas":{"sun":{"sidereal_longitude":132.053715,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":312.975315,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false,"latitude":-0.6002},"mars":{"sidereal_longitude":79.59651500000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":119.26111500000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":211.27321499999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":106.31561499999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":261.218715,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":320.9651,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":140.9651,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2137,"month":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501825.770833,"kali_year":5239,"ahargana":1913360.2708,"sun":{"sidereal_longitude":131.0437,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":313.2923,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":182.2487,"elapsed_within_tithi_degrees":2.2487},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":313.2923,"elapsed_within_degrees":6.6257},"yoga":{"number":7,"name":"Sukarma","sum_longitude":84.336},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.6,"elongation":177.751},"lunar":{"type":"lunar","occurs":true,"moon_latitude":-0.6,"opposition_distance":2.249}},"eclipse_window_40days":[{"offset_days":0,"type":"lunar","occurs":true,"moon_latitude":-0.6,"opposition_distance":2.249}]},"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":"05:30","sunsetLocal":"18:07","solarNoonLocal":"11:49","dayLengthHours":12.623557264798324,"dayLengthDisplay":"12 Hours 37 Mins 25 Secs","nightLengthDisplay":"11 Hours 22 Mins 35 Secs","moonriseLocal":"18:04","moonsetLocal":"05:40","rahuKala":{"name":"Rāhu Kāla","start":"08:39","end":"10:14","startHours":8.654377525077296,"endHours":10.232322183177086,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:23","end":"14:58","startHours":13.388211499376666,"endHours":14.966156157476458,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:30","end":"07:05","startHours":5.498488208877715,"endHours":7.076432866977505,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:52","startHours":8.443984903997324,"endHours":8.864770146157268,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:01","end":"06:22","startHours":6.024469761577645,"endHours":6.361097955305601,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:23","end":"12:14","startHours":11.389481599116934,"endHours":12.231052083436822,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:49","end":"04:39","startHours":3.815347240237939,"endHours":4.656917724557827,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:27","end":"05:30","startHours":4.446525103477855,"endHours":5.498488208877715,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:45","startHours":13.914193052076598,"endHours":14.755763536396486,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:55","end":"18:19","startHours":17.92204547367604,"endHours":18.322045473676038,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:07","end":"18:39","startHours":18.12204547367604,"endHours":18.64802702637597,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:52","end":"19:37","startHours":17.87204547367604,"endHours":19.62204547367604,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:23","end":"00:14","startHours":23.389481599116934,"endHours":24.231052083436822,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:30","end":"07:05","startHours":5.498488208877715,"endHours":7.076432866977505,"quality":"inauspicious"},{"name":"Śubha","start":"07:05","end":"08:39","startHours":7.076432866977505,"endHours":8.654377525077296,"quality":"auspicious"},{"name":"Roga","start":"08:39","end":"10:14","startHours":8.654377525077296,"endHours":10.232322183177086,"quality":"inauspicious"},{"name":"Udveg","start":"10:14","end":"11:49","startHours":10.232322183177086,"endHours":11.810266841276878,"quality":"inauspicious"},{"name":"Chala","start":"11:49","end":"13:23","startHours":11.810266841276878,"endHours":13.388211499376666,"quality":"neutral"},{"name":"Labha","start":"13:23","end":"14:58","startHours":13.388211499376666,"endHours":14.966156157476458,"quality":"auspicious"},{"name":"Amṛta","start":"14:58","end":"16:33","startHours":14.966156157476458,"endHours":16.54410081557625,"quality":"auspicious"},{"name":"Kāla","start":"16:33","end":"18:07","startHours":16.54410081557625,"endHours":18.12204547367604,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:07","end":"19:33","startHours":18.12204547367604,"endHours":19.544100815576247,"quality":"auspicious"},{"name":"Amṛta","start":"19:33","end":"20:58","startHours":19.544100815576247,"endHours":20.96615615747646,"quality":"auspicious"},{"name":"Kāla","start":"20:58","end":"22:23","startHours":20.96615615747646,"endHours":22.388211499376666,"quality":"inauspicious"},{"name":"Śubha","start":"22:23","end":"23:49","startHours":22.388211499376666,"endHours":23.810266841276878,"quality":"auspicious"},{"name":"Roga","start":"23:49","end":"01:14","startHours":23.810266841276878,"endHours":25.232322183177086,"quality":"inauspicious"},{"name":"Udveg","start":"01:14","end":"02:39","startHours":25.232322183177086,"endHours":26.654377525077294,"quality":"inauspicious"},{"name":"Chala","start":"02:39","end":"04:05","startHours":26.654377525077294,"endHours":28.076432866977505,"quality":"neutral"},{"name":"Labha","start":"04:05","end":"05:30","startHours":28.076432866977505,"endHours":29.498488208877717,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:30","end":"06:30","startHours":5.498488208877715,"endHours":6.498488208877715,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:30","end":"07:30","startHours":6.498488208877715,"endHours":7.498488208877715,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:30","end":"08:30","startHours":7.498488208877715,"endHours":8.498488208877715,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:30","end":"09:30","startHours":8.498488208877715,"endHours":9.498488208877715,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:30","end":"10:30","startHours":9.498488208877715,"endHours":10.498488208877715,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:30","end":"11:30","startHours":10.498488208877715,"endHours":11.498488208877715,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:30","end":"12:30","startHours":11.498488208877715,"endHours":12.498488208877715,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:30","end":"13:30","startHours":12.498488208877715,"endHours":13.498488208877715,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:30","end":"14:30","startHours":13.498488208877715,"endHours":14.498488208877715,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:30","end":"15:30","startHours":14.498488208877715,"endHours":15.498488208877715,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:30","end":"16:30","startHours":15.498488208877715,"endHours":16.498488208877717,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:30","end":"17:30","startHours":16.498488208877717,"endHours":17.498488208877717,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:30","end":"18:30","startHours":17.498488208877717,"endHours":18.498488208877717,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:30","end":"19:30","startHours":18.498488208877717,"endHours":19.498488208877717,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:30","end":"20:30","startHours":19.498488208877717,"endHours":20.498488208877717,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:30","end":"21:30","startHours":20.498488208877717,"endHours":21.498488208877717,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:30","end":"22:30","startHours":21.498488208877717,"endHours":22.498488208877717,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:30","end":"23:30","startHours":22.498488208877717,"endHours":23.498488208877717,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:30","end":"00:30","startHours":23.498488208877717,"endHours":24.498488208877717,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:30","end":"01:30","startHours":24.498488208877717,"endHours":25.498488208877717,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:30","end":"02:30","startHours":25.498488208877717,"endHours":26.498488208877717,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:30","end":"03:30","startHours":26.498488208877717,"endHours":27.498488208877717,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:30","end":"04:30","startHours":27.498488208877717,"endHours":28.498488208877717,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:30","end":"05:30","startHours":28.498488208877717,"endHours":29.498488208877717,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":8.63202053305803,"eotMinutes":0.14558952338733633,"ayanamsa":25.7761}},"calendars":{"vikram_samvat":2194,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":2059,"saka_samvatsara":"Hemalambī","bengali_samvat":1544,"malayalam_era":1313,"nanakshahi_year":668,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Pratipada · Vikram 2194 Sādhāraṇa · Śaka 2059 Hemalambī"},"festivals":[{"id":"pitra-paksha-start","name":"Pitṛ-Pakṣa Start","name_sanskrit":"पितृ पक्ष आरम्भ","tradition":"Pan-Hindu","associated_deity":"Pitṛ-gaṇa","significance":"Begin 16-day śrāddha period for ancestors. Bhādrapada Pūrṇimā next-day.","vrata":true,"detection":{"tithi_number":16,"tithi_paksha":"Kṛṣṇa","lunar_month":"Bhādrapada"},"precedence":2}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 August 31, 2137 CE · Ranchi, Jharkhand · Vidhyamitra","description":"August 31, 2137 CE for Ranchi, Jharkhand: Kṛṣṇa Pratipada, sūryodaya 05:30, sūryāsta 18:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2137-08-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2137-08-31","sa":"https://sa.vidhyamitra.com/city/ranchi/2137-08-31","hi":"https://hi.vidhyamitra.com/city/ranchi/2137-08-31","x-default":"https://vidhyamitra.com/city/ranchi/2137-08-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T03:16:25.137Z","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":"2026-06-01T03:16:25.137Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T03:16:25.138Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}