{"id":"vidhyamitra:city-day:ranchi:2086-07-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2086-07-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2086-07-04","date_display":"July 4, 2086 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":2086,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483140.770833,"kali_year":5188,"ahargana":1894675.2708,"sun":{"sidereal_longitude":76.9774,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":348.9302,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":271.9527,"elapsed_within_tithi_degrees":7.9527},"nakshatra":{"number":27,"name":"Revatī","pada":1,"moon_longitude":348.9302,"elapsed_within_degrees":2.2635},"yoga":{"number":5,"name":"Śobhana","sum_longitude":65.9076},"karana":{"half_tithi_index":45,"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":2086,"month":7,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483140.770833,"ahargana":1894675.2708,"kali_year":5188,"ayanamsa_lahiri":25.0614,"grahas":{"sun":{"sidereal_longitude":77.53352000000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":350.11992,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":3.9744},"mars":{"sidereal_longitude":12.027519999999981,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":65.94121999999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":112.67872,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":51.90262000000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":3.3153199999999856,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":230.9863,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":50.9863,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":2086,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483140.770833,"kali_year":5188,"ahargana":1894675.2708,"sun":{"sidereal_longitude":76.9774,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":348.9302,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":271.9527,"elapsed_within_tithi_degrees":7.9527},"nakshatra":{"number":27,"name":"Revatī","pada":1,"moon_longitude":348.9302,"elapsed_within_degrees":2.2635},"yoga":{"number":5,"name":"Śobhana","sum_longitude":65.9076},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.974,"elongation":88.047},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.974,"opposition_distance":91.953}},"eclipse_window_40days":[{"offset_days":-7,"type":"lunar","occurs":true,"moon_latitude":1.437,"opposition_distance":0.349}]},"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":13.530131723541736,"dayLengthDisplay":"13 Hours 31 Mins 48 Secs","nightLengthDisplay":"10 Hours 28 Mins 12 Secs","moonriseLocal":"23:50","moonsetLocal":"12:16","rahuKala":{"name":"Rāhu Kāla","start":"13:34","end":"15:16","startHours":13.570948353052085,"endHours":15.262214818494805,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:07","end":"06:48","startHours":5.114616025838502,"endHours":6.805882491281219,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:30","end":"10:11","startHours":8.497148956723937,"endHours":10.188415422166653,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:16","end":"08:43","startHours":8.271646761331574,"endHours":8.722651152116299,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:41","end":"06:02","startHours":5.678371514319408,"endHours":6.039175026947188,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:26","end":"12:20","startHours":11.428677496824644,"endHours":12.330686278394094,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:19","end":"04:13","startHours":3.3105984626996037,"endHours":4.212607244269053,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:59","end":"05:07","startHours":3.9871050488766904,"endHours":5.114616025838502,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"15:02","startHours":14.134703841532993,"endHours":15.036712623102442,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:27","end":"18:51","startHours":18.444747749380237,"endHours":18.844747749380236,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:39","end":"19:13","startHours":18.644747749380237,"endHours":19.20850323786114,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:24","end":"20:09","startHours":18.394747749380237,"endHours":20.144747749380237,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:26","end":"00:20","startHours":23.428677496824644,"endHours":24.330686278394094,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:07","end":"06:48","startHours":5.114616025838502,"endHours":6.805882491281219,"quality":"auspicious"},{"name":"Roga","start":"06:48","end":"08:30","startHours":6.805882491281219,"endHours":8.497148956723937,"quality":"inauspicious"},{"name":"Udveg","start":"08:30","end":"10:11","startHours":8.497148956723937,"endHours":10.188415422166653,"quality":"inauspicious"},{"name":"Chala","start":"10:11","end":"11:53","startHours":10.188415422166653,"endHours":11.879681887609369,"quality":"neutral"},{"name":"Labha","start":"11:53","end":"13:34","startHours":11.879681887609369,"endHours":13.570948353052085,"quality":"auspicious"},{"name":"Amṛta","start":"13:34","end":"15:16","startHours":13.570948353052085,"endHours":15.262214818494805,"quality":"auspicious"},{"name":"Kāla","start":"15:16","end":"16:57","startHours":15.262214818494805,"endHours":16.95348128393752,"quality":"inauspicious"},{"name":"Śubha","start":"16:57","end":"18:39","startHours":16.95348128393752,"endHours":18.644747749380237,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:39","end":"19:57","startHours":18.644747749380237,"endHours":19.95348128393752,"quality":"auspicious"},{"name":"Kāla","start":"19:57","end":"21:16","startHours":19.95348128393752,"endHours":21.262214818494805,"quality":"inauspicious"},{"name":"Śubha","start":"21:16","end":"22:34","startHours":21.262214818494805,"endHours":22.570948353052085,"quality":"auspicious"},{"name":"Roga","start":"22:34","end":"23:53","startHours":22.570948353052085,"endHours":23.87968188760937,"quality":"inauspicious"},{"name":"Udveg","start":"23:53","end":"01:11","startHours":23.87968188760937,"endHours":25.188415422166653,"quality":"inauspicious"},{"name":"Chala","start":"01:11","end":"02:30","startHours":25.188415422166653,"endHours":26.497148956723933,"quality":"neutral"},{"name":"Labha","start":"02:30","end":"03:48","startHours":26.497148956723933,"endHours":27.805882491281217,"quality":"auspicious"},{"name":"Amṛta","start":"03:48","end":"05:07","startHours":27.805882491281217,"endHours":29.1146160258385,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:07","end":"06:07","startHours":5.114616025838502,"endHours":6.114616025838502,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:07","end":"07:07","startHours":6.114616025838502,"endHours":7.114616025838502,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:07","end":"08:07","startHours":7.114616025838502,"endHours":8.114616025838501,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:07","end":"09:07","startHours":8.114616025838501,"endHours":9.114616025838501,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:07","end":"10:07","startHours":9.114616025838501,"endHours":10.114616025838501,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:07","end":"11:07","startHours":10.114616025838501,"endHours":11.114616025838501,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:07","end":"12:07","startHours":11.114616025838501,"endHours":12.114616025838501,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:07","end":"13:07","startHours":12.114616025838501,"endHours":13.114616025838501,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:07","end":"14:07","startHours":13.114616025838501,"endHours":14.114616025838501,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:07","end":"15:07","startHours":14.114616025838501,"endHours":15.114616025838501,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:07","end":"16:07","startHours":15.114616025838501,"endHours":16.1146160258385,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:07","end":"17:07","startHours":16.1146160258385,"endHours":17.1146160258385,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:07","end":"18:07","startHours":17.1146160258385,"endHours":18.1146160258385,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:07","end":"19:07","startHours":18.1146160258385,"endHours":19.1146160258385,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:07","end":"20:07","startHours":19.1146160258385,"endHours":20.1146160258385,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:07","end":"21:07","startHours":20.1146160258385,"endHours":21.1146160258385,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:07","end":"22:07","startHours":21.1146160258385,"endHours":22.1146160258385,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:07","end":"23:07","startHours":22.1146160258385,"endHours":23.1146160258385,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:07","end":"00:07","startHours":23.1146160258385,"endHours":24.1146160258385,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:07","end":"01:07","startHours":24.1146160258385,"endHours":25.1146160258385,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:07","end":"02:07","startHours":25.1146160258385,"endHours":26.1146160258385,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:07","end":"03:07","startHours":26.1146160258385,"endHours":27.1146160258385,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:07","end":"04:07","startHours":27.1146160258385,"endHours":28.1146160258385,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:07","end":"05:07","startHours":28.1146160258385,"endHours":29.1146160258385,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"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":"Lumba","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":22.840148764699215,"eotMinutes":-4.019313256562166,"ayanamsa":25.0614}},"calendars":{"vikram_samvat":2143,"vikram_samvatsara":"Siddhārthī","saka_samvat":2008,"saka_samvatsara":"Parābhava","bengali_samvat":1493,"malayalam_era":1262,"nanakshahi_year":617,"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 Aṣṭamī · Vikram 2143 Siddhārthī · Śaka 2008 Parābhava"},"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":[{"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}]},"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, 2086 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 4, 2086 CE for Ranchi, Jharkhand: Kṛṣṇa Aṣṭamī, sūryodaya 05:07, sūryāsta 18:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2086-07-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2086-07-04","sa":"https://sa.vidhyamitra.com/city/ranchi/2086-07-04","hi":"https://hi.vidhyamitra.com/city/ranchi/2086-07-04","x-default":"https://vidhyamitra.com/city/ranchi/2086-07-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T14:24:49.182Z","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":"2026-06-02T14:24:49.182Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T14:24:49.182Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}