{"id":"vidhyamitra:city-day:ranchi:2157-07-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2157-07-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2157-07-04","date_display":"July 4, 2157 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":2157,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509072.770833,"kali_year":5259,"ahargana":1920607.2708,"sun":{"sidereal_longitude":75.6792,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":42.1518,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":326.4726,"elapsed_within_tithi_degrees":2.4726},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":42.1518,"elapsed_within_degrees":2.1518},"yoga":{"number":9,"name":"Śūla","sum_longitude":117.831},"karana":{"half_tithi_index":54,"name":"Gara"},"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":2157,"month":7,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509072.770833,"ahargana":1920607.2708,"kali_year":5259,"ayanamsa_lahiri":26.0532,"grahas":{"sun":{"sidereal_longitude":76.39652699999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":41.60532699999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":4.3429},"mars":{"sidereal_longitude":186.17762700000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":97.97202700000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":106.50032700000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"venus":{"sidereal_longitude":109.14932700000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":150.30892699999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":296.9842,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":116.9842,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2157,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509072.770833,"kali_year":5259,"ahargana":1920607.2708,"sun":{"sidereal_longitude":75.6792,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":42.1518,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":326.4726,"elapsed_within_tithi_degrees":2.4726},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":42.1518,"elapsed_within_degrees":2.1518},"yoga":{"number":9,"name":"Śūla","sum_longitude":117.831},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.343,"elongation":33.527},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.343,"opposition_distance":146.473}},"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":"05:07","sunsetLocal":"18:39","solarNoonLocal":"11:53","dayLengthHours":13.531084531535356,"dayLengthDisplay":"13 Hours 31 Mins 52 Secs","nightLengthDisplay":"10 Hours 28 Mins 08 Secs","moonriseLocal":"02:52","moonsetLocal":"16:16","rahuKala":{"name":"Rāhu Kāla","start":"06:48","end":"08:30","startHours":6.805525188283609,"endHours":8.49691075472553,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:11","end":"11:53","startHours":10.18829632116745,"endHours":11.879681887609369,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:34","end":"15:16","startHours":13.571067454051288,"endHours":15.262453020493208,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:16","end":"08:43","startHours":8.27139267919994,"endHours":8.722428830251118,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:41","end":"06:02","startHours":5.677934810655663,"endHours":6.038763731496606,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:26","end":"12:20","startHours":11.42864573655819,"endHours":12.330718038660548,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:19","end":"04:13","startHours":3.3099950176369757,"endHours":4.212067319739333,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:59","end":"05:07","startHours":3.9865492442137436,"endHours":5.11413962184169,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"15:02","startHours":14.134862642865262,"endHours":15.03693494496762,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:27","end":"18:51","startHours":18.445224153377048,"endHours":18.845224153377046,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:39","end":"19:13","startHours":18.645224153377047,"endHours":19.20901934219102,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:24","end":"20:09","startHours":18.395224153377047,"endHours":20.145224153377047,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:26","end":"00:20","startHours":23.42864573655819,"endHours":24.330718038660546,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:07","end":"06:48","startHours":5.11413962184169,"endHours":6.805525188283609,"quality":"auspicious"},{"name":"Kāla","start":"06:48","end":"08:30","startHours":6.805525188283609,"endHours":8.49691075472553,"quality":"inauspicious"},{"name":"Śubha","start":"08:30","end":"10:11","startHours":8.49691075472553,"endHours":10.18829632116745,"quality":"auspicious"},{"name":"Roga","start":"10:11","end":"11:53","startHours":10.18829632116745,"endHours":11.879681887609369,"quality":"inauspicious"},{"name":"Udveg","start":"11:53","end":"13:34","startHours":11.879681887609369,"endHours":13.571067454051288,"quality":"inauspicious"},{"name":"Chala","start":"13:34","end":"15:16","startHours":13.571067454051288,"endHours":15.262453020493208,"quality":"neutral"},{"name":"Labha","start":"15:16","end":"16:57","startHours":15.262453020493208,"endHours":16.953838586935127,"quality":"auspicious"},{"name":"Amṛta","start":"16:57","end":"18:39","startHours":16.953838586935127,"endHours":18.645224153377047,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:39","end":"19:57","startHours":18.645224153377047,"endHours":19.953838586935127,"quality":"neutral"},{"name":"Labha","start":"19:57","end":"21:16","startHours":19.953838586935127,"endHours":21.262453020493208,"quality":"auspicious"},{"name":"Amṛta","start":"21:16","end":"22:34","startHours":21.262453020493208,"endHours":22.57106745405129,"quality":"auspicious"},{"name":"Kāla","start":"22:34","end":"23:53","startHours":22.57106745405129,"endHours":23.87968188760937,"quality":"inauspicious"},{"name":"Śubha","start":"23:53","end":"01:11","startHours":23.87968188760937,"endHours":25.18829632116745,"quality":"auspicious"},{"name":"Roga","start":"01:11","end":"02:30","startHours":25.18829632116745,"endHours":26.49691075472553,"quality":"inauspicious"},{"name":"Udveg","start":"02:30","end":"03:48","startHours":26.49691075472553,"endHours":27.80552518828361,"quality":"inauspicious"},{"name":"Chala","start":"03:48","end":"05:07","startHours":27.80552518828361,"endHours":29.11413962184169,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:07","end":"06:07","startHours":5.11413962184169,"endHours":6.11413962184169,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:07","end":"07:07","startHours":6.11413962184169,"endHours":7.11413962184169,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:07","end":"08:07","startHours":7.11413962184169,"endHours":8.11413962184169,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:07","end":"09:07","startHours":8.11413962184169,"endHours":9.11413962184169,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:07","end":"10:07","startHours":9.11413962184169,"endHours":10.11413962184169,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:07","end":"11:07","startHours":10.11413962184169,"endHours":11.11413962184169,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:07","end":"12:07","startHours":11.11413962184169,"endHours":12.11413962184169,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:07","end":"13:07","startHours":12.11413962184169,"endHours":13.11413962184169,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:07","end":"14:07","startHours":13.11413962184169,"endHours":14.11413962184169,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:07","end":"15:07","startHours":14.11413962184169,"endHours":15.11413962184169,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:07","end":"16:07","startHours":15.11413962184169,"endHours":16.11413962184169,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:07","end":"17:07","startHours":16.11413962184169,"endHours":17.11413962184169,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:07","end":"18:07","startHours":17.11413962184169,"endHours":18.11413962184169,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:07","end":"19:07","startHours":18.11413962184169,"endHours":19.11413962184169,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:07","end":"20:07","startHours":19.11413962184169,"endHours":20.11413962184169,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:07","end":"21:07","startHours":20.11413962184169,"endHours":21.11413962184169,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:07","end":"22:07","startHours":21.11413962184169,"endHours":22.11413962184169,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:07","end":"23:07","startHours":22.11413962184169,"endHours":23.11413962184169,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:07","end":"00:07","startHours":23.11413962184169,"endHours":24.11413962184169,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:07","end":"01:07","startHours":24.11413962184169,"endHours":25.11413962184169,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:07","end":"02:07","startHours":25.11413962184169,"endHours":26.11413962184169,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:07","end":"03:07","startHours":26.11413962184169,"endHours":27.11413962184169,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:07","end":"04:07","startHours":27.11413962184169,"endHours":28.11413962184169,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:07","end":"05:07","startHours":28.11413962184169,"endHours":29.11413962184169,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":22.853735627477686,"eotMinutes":-4.019313256562166,"ayanamsa":26.0532}},"calendars":{"vikram_samvat":2214,"vikram_samvatsara":"Pramoda","saka_samvat":2079,"saka_samvatsara":"Piṅgala","bengali_samvat":1564,"malayalam_era":1333,"nanakshahi_year":688,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Trayodaśī · Vikram 2214 Pramoda · Śaka 2079 Piṅgala"},"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":"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 Rohiṇī","url":"/day/-3226-07-09","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 4, 2157 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 4, 2157 CE for Ranchi, Jharkhand: Kṛṣṇa Trayodaśī, sūryodaya 05:07, sūryāsta 18:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2157-07-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2157-07-04","sa":"https://sa.vidhyamitra.com/city/ranchi/2157-07-04","hi":"https://hi.vidhyamitra.com/city/ranchi/2157-07-04","x-default":"https://vidhyamitra.com/city/ranchi/2157-07-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:06:10.043Z","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":"2026-05-31T16:06:10.043Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:06:10.043Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}