{"id":"vidhyamitra:city-day:ranchi:2013-08-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2013-08-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-08-04","date_display":"August 4, 2013 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":2013,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456508.770833,"kali_year":5115,"ahargana":1868043.2708,"sun":{"sidereal_longitude":107.214,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":74.3152,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.1012,"elapsed_within_tithi_degrees":3.1012},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.3152,"elapsed_within_degrees":7.6485},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":181.5292},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2013,"month":8,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456508.770833,"ahargana":1868043.2708,"kali_year":5115,"ayanamsa_lahiri":24.0428,"grahas":{"sun":{"sidereal_longitude":107.799958,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":76.02025800000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":-3.5561},"mars":{"sidereal_longitude":80.15375799999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":88.90925800000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":74.05485799999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":140.766058,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":191.10575799999992,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":202.0779,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":22.0779,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2013,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456508.770833,"kali_year":5115,"ahargana":1868043.2708,"sun":{"sidereal_longitude":107.214,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":74.3152,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.1012,"elapsed_within_tithi_degrees":3.1012},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.3152,"elapsed_within_degrees":7.6485},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":181.5292},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.556,"elongation":32.899},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.556,"opposition_distance":147.101}},"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":"05:20","sunsetLocal":"18:29","solarNoonLocal":"11:55","dayLengthHours":13.153884567702967,"dayLengthDisplay":"13 Hours 09 Mins 14 Secs","nightLengthDisplay":"10 Hours 50 Mins 46 Secs","moonriseLocal":"03:02","moonsetLocal":"16:33","rahuKala":{"name":"Rāhu Kāla","start":"16:51","end":"18:29","startHours":16.841964470622578,"endHours":18.486200041585448,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:55","end":"13:33","startHours":11.909257757733965,"endHours":13.553493328696835,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:12","end":"16:51","startHours":15.197728899659708,"endHours":16.841964470622578,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:24","end":"08:50","startHours":8.401555206346508,"endHours":8.84001802526994,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:53","end":"06:14","startHours":5.880393997536772,"endHours":6.2311642526755175,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:21","startHours":11.470794938810533,"endHours":12.347720576657396,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:35","end":"04:27","startHours":3.578464198188753,"endHours":4.455389836035618,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:14","end":"05:20","startHours":4.236158426573901,"endHours":5.332315473882482,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:59","startHours":14.101571852351128,"endHours":14.978497490197993,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:17","end":"18:41","startHours":18.28620004158545,"endHours":18.686200041585447,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:29","end":"19:02","startHours":18.486200041585448,"endHours":19.034278565239738,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:14","end":"19:59","startHours":18.236200041585448,"endHours":19.986200041585448,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:21","startHours":23.47079493881053,"endHours":24.347720576657398,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:20","end":"06:59","startHours":5.332315473882482,"endHours":6.976551044845353,"quality":"inauspicious"},{"name":"Chala","start":"06:59","end":"08:37","startHours":6.976551044845353,"endHours":8.620786615808225,"quality":"neutral"},{"name":"Labha","start":"08:37","end":"10:16","startHours":8.620786615808225,"endHours":10.265022186771095,"quality":"auspicious"},{"name":"Amṛta","start":"10:16","end":"11:55","startHours":10.265022186771095,"endHours":11.909257757733965,"quality":"auspicious"},{"name":"Kāla","start":"11:55","end":"13:33","startHours":11.909257757733965,"endHours":13.553493328696835,"quality":"inauspicious"},{"name":"Śubha","start":"13:33","end":"15:12","startHours":13.553493328696835,"endHours":15.197728899659708,"quality":"auspicious"},{"name":"Roga","start":"15:12","end":"16:51","startHours":15.197728899659708,"endHours":16.841964470622578,"quality":"inauspicious"},{"name":"Udveg","start":"16:51","end":"18:29","startHours":16.841964470622578,"endHours":18.486200041585448,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:29","end":"19:51","startHours":18.486200041585448,"endHours":19.841964470622578,"quality":"auspicious"},{"name":"Roga","start":"19:51","end":"21:12","startHours":19.841964470622578,"endHours":21.197728899659708,"quality":"inauspicious"},{"name":"Udveg","start":"21:12","end":"22:33","startHours":21.197728899659708,"endHours":22.553493328696835,"quality":"inauspicious"},{"name":"Chala","start":"22:33","end":"23:55","startHours":22.553493328696835,"endHours":23.909257757733965,"quality":"neutral"},{"name":"Labha","start":"23:55","end":"01:16","startHours":23.909257757733965,"endHours":25.265022186771095,"quality":"auspicious"},{"name":"Amṛta","start":"01:16","end":"02:37","startHours":25.265022186771095,"endHours":26.62078661580822,"quality":"auspicious"},{"name":"Kāla","start":"02:37","end":"03:59","startHours":26.62078661580822,"endHours":27.97655104484535,"quality":"inauspicious"},{"name":"Śubha","start":"03:59","end":"05:20","startHours":27.97655104484535,"endHours":29.33231547388248,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:20","end":"06:20","startHours":5.332315473882482,"endHours":6.332315473882482,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:20","end":"07:20","startHours":6.332315473882482,"endHours":7.332315473882482,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:20","end":"08:20","startHours":7.332315473882482,"endHours":8.332315473882481,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:20","end":"09:20","startHours":8.332315473882481,"endHours":9.332315473882481,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:20","end":"10:20","startHours":9.332315473882481,"endHours":10.332315473882481,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:20","end":"11:20","startHours":10.332315473882481,"endHours":11.332315473882481,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:20","end":"12:20","startHours":11.332315473882481,"endHours":12.332315473882481,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:20","end":"13:20","startHours":12.332315473882481,"endHours":13.332315473882481,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:20","end":"14:20","startHours":13.332315473882481,"endHours":14.332315473882481,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:20","end":"15:20","startHours":14.332315473882481,"endHours":15.332315473882481,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:20","end":"16:20","startHours":15.332315473882481,"endHours":16.33231547388248,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:20","end":"17:20","startHours":16.33231547388248,"endHours":17.33231547388248,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:20","end":"18:20","startHours":17.33231547388248,"endHours":18.33231547388248,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:20","end":"19:20","startHours":18.33231547388248,"endHours":19.33231547388248,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:20","end":"20:20","startHours":19.33231547388248,"endHours":20.33231547388248,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:20","end":"21:20","startHours":20.33231547388248,"endHours":21.33231547388248,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:20","end":"22:20","startHours":21.33231547388248,"endHours":22.33231547388248,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:20","end":"23:20","startHours":22.33231547388248,"endHours":23.33231547388248,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:20","end":"00:20","startHours":23.33231547388248,"endHours":24.33231547388248,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:20","end":"01:20","startHours":24.33231547388248,"endHours":25.33231547388248,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:20","end":"02:20","startHours":25.33231547388248,"endHours":26.33231547388248,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:20","end":"03:20","startHours":26.33231547388248,"endHours":27.33231547388248,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:20","end":"04:20","startHours":27.33231547388248,"endHours":28.33231547388248,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:20","end":"05:20","startHours":28.33231547388248,"endHours":29.33231547388248,"planetary_lord":"Jupiter"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":17.235632503570436,"eotMinutes":-5.793865464037833,"ayanamsa":24.0428}},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"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 Trayodaśī · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 4, 2013 CE · Ranchi, Jharkhand · Vidhyamitra","description":"August 4, 2013 CE for Ranchi, Jharkhand: Kṛṣṇa Trayodaśī, sūryodaya 05:20, sūryāsta 18:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2013-08-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2013-08-04","sa":"https://sa.vidhyamitra.com/city/ranchi/2013-08-04","hi":"https://hi.vidhyamitra.com/city/ranchi/2013-08-04","x-default":"https://vidhyamitra.com/city/ranchi/2013-08-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T17:57:24.058Z","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":"2026-06-02T17:57:24.058Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T17:57:24.058Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}