{"id":"vidhyamitra:city-day:ranchi:2176-07-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2176-07-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2176-07-29","date_display":"July 29, 2176 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":2176,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2516037.770833,"kali_year":5278,"ahargana":1927572.2708,"sun":{"sidereal_longitude":99.4423,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":8.2936,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":268.8513,"elapsed_within_tithi_degrees":4.8513},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":8.2936,"elapsed_within_degrees":8.2936},"yoga":{"number":9,"name":"Śūla","sum_longitude":107.7359},"karana":{"half_tithi_index":44,"name":"Bālava"},"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":2176,"month":7,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2516037.770833,"ahargana":1927572.2708,"kali_year":5278,"ayanamsa_lahiri":26.3196,"grahas":{"sun":{"sidereal_longitude":100.37431200000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":7.320811999999989,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false,"latitude":4.4362},"mars":{"sidereal_longitude":286.463212,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":112.17191200000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":334.185912,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":123.77831200000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":24.82941199999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":287.945,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":107.945,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"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":2176,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2516037.770833,"kali_year":5278,"ahargana":1927572.2708,"sun":{"sidereal_longitude":99.4423,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":8.2936,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":268.8513,"elapsed_within_tithi_degrees":4.8513},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":8.2936,"elapsed_within_degrees":8.2936},"yoga":{"number":9,"name":"Śūla","sum_longitude":107.7359},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.436,"elongation":91.149},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.436,"opposition_distance":88.851}},"eclipse_window_40days":[{"offset_days":-7,"type":"lunar","occurs":true,"moon_latitude":-1.097,"opposition_distance":1.39},{"offset_days":7,"type":"solar","occurs":true,"moon_latitude":-0.086,"elongation":2.576}]},"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":"18:32","solarNoonLocal":"11:55","dayLengthHours":13.2425126131794,"dayLengthDisplay":"13 Hours 14 Mins 33 Secs","nightLengthDisplay":"10 Hours 45 Mins 27 Secs","moonriseLocal":"23:18","moonsetLocal":"12:08","rahuKala":{"name":"Rāhu Kāla","start":"06:57","end":"08:36","startHours":6.949212043483496,"endHours":8.60452612013092,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:16","end":"11:55","startHours":10.259840196778345,"endHours":11.91515427342577,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:34","end":"15:14","startHours":13.570468350073195,"endHours":15.22578242672062,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:23","end":"08:50","startHours":8.38381757657793,"endHours":8.825234663683911,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:51","end":"06:12","startHours":5.845669325718546,"endHours":6.19880299540333,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:21","startHours":11.47373718631979,"endHours":12.35657136053175,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:32","end":"04:25","startHours":3.5282296184121513,"endHours":4.411063792624111,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:11","end":"05:18","startHours":4.190355249071121,"endHours":5.293897966836071,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"15:00","startHours":14.122239708955671,"endHours":15.005073883167631,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:20","end":"18:44","startHours":18.33641058001547,"endHours":18.73641058001547,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:32","end":"19:05","startHours":18.53641058001547,"endHours":19.088181938897947,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:17","end":"20:02","startHours":18.28641058001547,"endHours":20.03641058001547,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:21","startHours":23.47373718631979,"endHours":24.35657136053175,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:18","end":"06:57","startHours":5.293897966836071,"endHours":6.949212043483496,"quality":"auspicious"},{"name":"Kāla","start":"06:57","end":"08:36","startHours":6.949212043483496,"endHours":8.60452612013092,"quality":"inauspicious"},{"name":"Śubha","start":"08:36","end":"10:16","startHours":8.60452612013092,"endHours":10.259840196778345,"quality":"auspicious"},{"name":"Roga","start":"10:16","end":"11:55","startHours":10.259840196778345,"endHours":11.91515427342577,"quality":"inauspicious"},{"name":"Udveg","start":"11:55","end":"13:34","startHours":11.91515427342577,"endHours":13.570468350073195,"quality":"inauspicious"},{"name":"Chala","start":"13:34","end":"15:14","startHours":13.570468350073195,"endHours":15.22578242672062,"quality":"neutral"},{"name":"Labha","start":"15:14","end":"16:53","startHours":15.22578242672062,"endHours":16.881096503368045,"quality":"auspicious"},{"name":"Amṛta","start":"16:53","end":"18:32","startHours":16.881096503368045,"endHours":18.53641058001547,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:32","end":"19:53","startHours":18.53641058001547,"endHours":19.881096503368045,"quality":"neutral"},{"name":"Labha","start":"19:53","end":"21:14","startHours":19.881096503368045,"endHours":21.22578242672062,"quality":"auspicious"},{"name":"Amṛta","start":"21:14","end":"22:34","startHours":21.22578242672062,"endHours":22.570468350073195,"quality":"auspicious"},{"name":"Kāla","start":"22:34","end":"23:55","startHours":22.570468350073195,"endHours":23.91515427342577,"quality":"inauspicious"},{"name":"Śubha","start":"23:55","end":"01:16","startHours":23.91515427342577,"endHours":25.259840196778345,"quality":"auspicious"},{"name":"Roga","start":"01:16","end":"02:36","startHours":25.259840196778345,"endHours":26.60452612013092,"quality":"inauspicious"},{"name":"Udveg","start":"02:36","end":"03:57","startHours":26.60452612013092,"endHours":27.949212043483495,"quality":"inauspicious"},{"name":"Chala","start":"03:57","end":"05:18","startHours":27.949212043483495,"endHours":29.29389796683607,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:18","end":"06:18","startHours":5.293897966836071,"endHours":6.293897966836071,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:18","end":"07:18","startHours":6.293897966836071,"endHours":7.293897966836071,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:18","end":"08:18","startHours":7.293897966836071,"endHours":8.29389796683607,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:18","end":"09:18","startHours":8.29389796683607,"endHours":9.29389796683607,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:18","end":"10:18","startHours":9.29389796683607,"endHours":10.29389796683607,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:18","end":"11:18","startHours":10.29389796683607,"endHours":11.29389796683607,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:18","end":"12:18","startHours":11.29389796683607,"endHours":12.29389796683607,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:18","end":"13:18","startHours":12.29389796683607,"endHours":13.29389796683607,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:18","end":"14:18","startHours":13.29389796683607,"endHours":14.29389796683607,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:18","end":"15:18","startHours":14.29389796683607,"endHours":15.29389796683607,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:18","end":"16:18","startHours":15.29389796683607,"endHours":16.29389796683607,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:18","end":"17:18","startHours":16.29389796683607,"endHours":17.29389796683607,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:18","end":"18:18","startHours":17.29389796683607,"endHours":18.29389796683607,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:18","end":"19:18","startHours":18.29389796683607,"endHours":19.29389796683607,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:18","end":"20:18","startHours":19.29389796683607,"endHours":20.29389796683607,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:18","end":"21:18","startHours":20.29389796683607,"endHours":21.29389796683607,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:18","end":"22:18","startHours":21.29389796683607,"endHours":22.29389796683607,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:18","end":"23:18","startHours":22.29389796683607,"endHours":23.29389796683607,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:18","end":"00:18","startHours":23.29389796683607,"endHours":24.29389796683607,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:18","end":"01:18","startHours":24.29389796683607,"endHours":25.29389796683607,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:18","end":"02:18","startHours":25.29389796683607,"endHours":26.29389796683607,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:18","end":"03:18","startHours":26.29389796683607,"endHours":27.29389796683607,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:18","end":"04:18","startHours":27.29389796683607,"endHours":28.29389796683607,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:18","end":"05:18","startHours":28.29389796683607,"endHours":29.29389796683607,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Saumya","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":18.597469780970982,"eotMinutes":-6.147656405546237,"ayanamsa":26.3196}},"calendars":{"vikram_samvat":2233,"vikram_samvatsara":"Virodhi","saka_samvat":2098,"saka_samvatsara":"Dhātṛ","bengali_samvat":1583,"malayalam_era":1352,"nanakshahi_year":707,"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 Aṣṭamī · Vikram 2233 Virodhi · Śaka 2098 Dhātṛ"},"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 Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5},{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","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 29, 2176 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 29, 2176 CE for Ranchi, Jharkhand: Kṛṣṇa Aṣṭamī, sūryodaya 05:18, sūryāsta 18:32.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2176-07-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2176-07-29","sa":"https://sa.vidhyamitra.com/city/ranchi/2176-07-29","hi":"https://hi.vidhyamitra.com/city/ranchi/2176-07-29","x-default":"https://vidhyamitra.com/city/ranchi/2176-07-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T17:48:02.900Z","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":"2026-06-03T17:48:02.900Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T17:48:02.900Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}