{"id":"vidhyamitra:city-day:ranchi:2031-08-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2031-08-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2031-08-07","date_display":"August 7, 2031 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":2031,"month":8,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463085.770833,"kali_year":5133,"ahargana":1874620.2708,"sun":{"sidereal_longitude":109.4438,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":341.7921,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":232.3482,"elapsed_within_tithi_degrees":4.3482},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":341.7921,"elapsed_within_degrees":8.4588},"yoga":{"number":7,"name":"Sukarma","sum_longitude":91.2359},"karana":{"half_tithi_index":38,"name":"Kaulava"},"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":2031,"month":8,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463085.770833,"ahargana":1874620.2708,"kali_year":5133,"ayanamsa_lahiri":24.2944,"grahas":{"sun":{"sidereal_longitude":110.08686799999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":344.069068,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false,"latitude":3.5352},"mars":{"sidereal_longitude":205.38916800000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":118.57416799999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":234.95426799999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":115.964968,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":55.585668,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":213.5967,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":33.5967,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2031,"month":8,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463085.770833,"kali_year":5133,"ahargana":1874620.2708,"sun":{"sidereal_longitude":109.4438,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":341.7921,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":232.3482,"elapsed_within_tithi_degrees":4.3482},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":341.7921,"elapsed_within_degrees":8.4588},"yoga":{"number":7,"name":"Sukarma","sum_longitude":91.2359},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.535,"elongation":127.652},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.535,"opposition_distance":52.348}},"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":"05:21","sunsetLocal":"18:27","solarNoonLocal":"11:54","dayLengthHours":13.107586794808462,"dayLengthDisplay":"13 Hours 06 Mins 27 Secs","nightLengthDisplay":"10 Hours 53 Mins 33 Secs","moonriseLocal":"21:22","moonsetLocal":"09:38","rahuKala":{"name":"Rāhu Kāla","start":"13:33","end":"15:11","startHours":13.542406612936485,"endHours":15.180854962287542,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:21","end":"06:59","startHours":5.350164866181196,"endHours":6.988613215532253,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:38","end":"10:16","startHours":8.627061564883311,"endHours":10.265509914234368,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:25","end":"08:51","startHours":8.408601784969836,"endHours":8.845521344796786,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:54","end":"06:15","startHours":5.896314315964881,"endHours":6.245849963826441,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:20","startHours":11.467038703758478,"endHours":12.340877823412375,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:36","end":"04:29","startHours":3.6024866268734006,"endHours":4.476325746527298,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:15","end":"05:21","startHours":4.257865966613823,"endHours":5.350164866181196,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:58","startHours":14.088556062720171,"endHours":14.962395182374069,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:15","end":"18:39","startHours":18.25775166098966,"endHours":18.657751660989657,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:27","end":"19:00","startHours":18.457751660989658,"endHours":19.003901110773345,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:12","end":"19:57","startHours":18.207751660989658,"endHours":19.957751660989658,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:20","startHours":23.46703870375848,"endHours":24.340877823412374,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:21","end":"06:59","startHours":5.350164866181196,"endHours":6.988613215532253,"quality":"auspicious"},{"name":"Roga","start":"06:59","end":"08:38","startHours":6.988613215532253,"endHours":8.627061564883311,"quality":"inauspicious"},{"name":"Udveg","start":"08:38","end":"10:16","startHours":8.627061564883311,"endHours":10.265509914234368,"quality":"inauspicious"},{"name":"Chala","start":"10:16","end":"11:54","startHours":10.265509914234368,"endHours":11.903958263585427,"quality":"neutral"},{"name":"Labha","start":"11:54","end":"13:33","startHours":11.903958263585427,"endHours":13.542406612936485,"quality":"auspicious"},{"name":"Amṛta","start":"13:33","end":"15:11","startHours":13.542406612936485,"endHours":15.180854962287542,"quality":"auspicious"},{"name":"Kāla","start":"15:11","end":"16:49","startHours":15.180854962287542,"endHours":16.8193033116386,"quality":"inauspicious"},{"name":"Śubha","start":"16:49","end":"18:27","startHours":16.8193033116386,"endHours":18.457751660989658,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:27","end":"19:49","startHours":18.457751660989658,"endHours":19.8193033116386,"quality":"auspicious"},{"name":"Kāla","start":"19:49","end":"21:11","startHours":19.8193033116386,"endHours":21.18085496228754,"quality":"inauspicious"},{"name":"Śubha","start":"21:11","end":"22:33","startHours":21.18085496228754,"endHours":22.542406612936485,"quality":"auspicious"},{"name":"Roga","start":"22:33","end":"23:54","startHours":22.542406612936485,"endHours":23.903958263585427,"quality":"inauspicious"},{"name":"Udveg","start":"23:54","end":"01:16","startHours":23.903958263585427,"endHours":25.265509914234368,"quality":"inauspicious"},{"name":"Chala","start":"01:16","end":"02:38","startHours":25.265509914234368,"endHours":26.627061564883313,"quality":"neutral"},{"name":"Labha","start":"02:38","end":"03:59","startHours":26.627061564883313,"endHours":27.988613215532254,"quality":"auspicious"},{"name":"Amṛta","start":"03:59","end":"05:21","startHours":27.988613215532254,"endHours":29.350164866181196,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:21","end":"06:21","startHours":5.350164866181196,"endHours":6.350164866181196,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:21","end":"07:21","startHours":6.350164866181196,"endHours":7.350164866181196,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:21","end":"08:21","startHours":7.350164866181196,"endHours":8.350164866181196,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:21","end":"09:21","startHours":8.350164866181196,"endHours":9.350164866181196,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:21","end":"10:21","startHours":9.350164866181196,"endHours":10.350164866181196,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:21","end":"11:21","startHours":10.350164866181196,"endHours":11.350164866181196,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:21","end":"12:21","startHours":11.350164866181196,"endHours":12.350164866181196,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:21","end":"13:21","startHours":12.350164866181196,"endHours":13.350164866181196,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:21","end":"14:21","startHours":13.350164866181196,"endHours":14.350164866181196,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:21","end":"15:21","startHours":14.350164866181196,"endHours":15.350164866181196,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:21","end":"16:21","startHours":15.350164866181196,"endHours":16.350164866181196,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:21","end":"17:21","startHours":16.350164866181196,"endHours":17.350164866181196,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:21","end":"18:21","startHours":17.350164866181196,"endHours":18.350164866181196,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:21","end":"19:21","startHours":18.350164866181196,"endHours":19.350164866181196,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:21","end":"20:21","startHours":19.350164866181196,"endHours":20.350164866181196,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:21","end":"21:21","startHours":20.350164866181196,"endHours":21.350164866181196,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:21","end":"22:21","startHours":21.350164866181196,"endHours":22.350164866181196,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:21","end":"23:21","startHours":22.350164866181196,"endHours":23.350164866181196,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:21","end":"00:21","startHours":23.350164866181196,"endHours":24.350164866181196,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:21","end":"01:21","startHours":24.350164866181196,"endHours":25.350164866181196,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:21","end":"02:21","startHours":25.350164866181196,"endHours":26.350164866181196,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:21","end":"03:21","startHours":26.350164866181196,"endHours":27.350164866181196,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:21","end":"04:21","startHours":27.350164866181196,"endHours":28.350164866181196,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:21","end":"05:21","startHours":28.350164866181196,"endHours":29.350164866181196,"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":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":16.5146168018559,"eotMinutes":-5.475895815125568,"ayanamsa":24.2944}},"calendars":{"vikram_samvat":2088,"vikram_samvatsara":"Raktākṣī","saka_samvat":1953,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1438,"malayalam_era":1207,"nanakshahi_year":562,"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":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Pañcamī · Vikram 2088 Raktākṣī · Śaka 1953 Virodhakṛt"},"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 August 7, 2031 CE · Ranchi, Jharkhand · Vidhyamitra","description":"August 7, 2031 CE for Ranchi, Jharkhand: Kṛṣṇa Pañcamī, sūryodaya 05:21, sūryāsta 18:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2031-08-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2031-08-07","sa":"https://sa.vidhyamitra.com/city/ranchi/2031-08-07","hi":"https://hi.vidhyamitra.com/city/ranchi/2031-08-07","x-default":"https://vidhyamitra.com/city/ranchi/2031-08-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T11:58:40.239Z","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":"2026-09-11T11:58:40.239Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T11:58:40.239Z","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"}}}