{"id":"vidhyamitra:city-day:ranchi:2045-07-08:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2045-07-08","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-07-08","date_display":"July 8, 2045 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":2045,"month":7,"day":8,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468169.770833,"kali_year":5147,"ahargana":1879704.2708,"sun":{"sidereal_longitude":81.3398,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":1.2043,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":279.8645,"elapsed_within_tithi_degrees":3.8645},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":1.2043,"elapsed_within_degrees":1.2043},"yoga":{"number":7,"name":"Sukarma","sum_longitude":82.5442},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2045,"month":7,"day":8,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468169.770833,"ahargana":1879704.2708,"kali_year":5147,"ayanamsa_lahiri":24.4888,"grahas":{"sun":{"sidereal_longitude":81.82902200000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"moon":{"sidereal_longitude":358.351322,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false,"latitude":3.7721},"mars":{"sidereal_longitude":64.38082199999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":104.534422,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":317.865322,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":109.91032200000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":220.52712199999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":304.222,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":124.222,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"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":2045,"month":7,"day":8,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468169.770833,"kali_year":5147,"ahargana":1879704.2708,"sun":{"sidereal_longitude":81.3398,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":1.2043,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":279.8645,"elapsed_within_tithi_degrees":3.8645},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":1.2043,"elapsed_within_degrees":1.2043},"yoga":{"number":7,"name":"Sukarma","sum_longitude":82.5442},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.772,"elongation":80.136},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.772,"opposition_distance":99.864}},"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":"05:08","sunsetLocal":"18:39","solarNoonLocal":"11:53","dayLengthHours":13.50214857729,"dayLengthDisplay":"13 Hours 30 Mins 08 Secs","nightLengthDisplay":"10 Hours 29 Mins 52 Secs","moonriseLocal":"00:01","moonsetLocal":"12:38","rahuKala":{"name":"Rāhu Kāla","start":"08:31","end":"10:12","startHours":8.515129108571685,"endHours":10.202897680732935,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:35","end":"15:16","startHours":13.578434825055435,"endHours":15.266203397216685,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:08","end":"06:50","startHours":5.139591964249184,"endHours":6.827360536410434,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:17","end":"08:44","startHours":8.290093298950184,"endHours":8.740164918193184,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:42","end":"06:04","startHours":5.702181488302934,"endHours":6.0622387836973335,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:26","end":"12:20","startHours":11.440594633651186,"endHours":12.340737872137185,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:20","end":"04:14","startHours":3.3393054872771835,"endHours":4.239448725763184,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:01","end":"05:08","startHours":4.0144129161416835,"endHours":5.139591964249184,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"15:02","startHours":14.141024349109184,"endHours":15.041167587595185,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:27","end":"18:51","startHours":18.441740541539186,"endHours":18.841740541539185,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:39","end":"19:12","startHours":18.641740541539185,"endHours":19.204330065592934,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:24","end":"20:09","startHours":18.391740541539185,"endHours":20.141740541539185,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:26","end":"00:20","startHours":23.440594633651184,"endHours":24.340737872137186,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:08","end":"06:50","startHours":5.139591964249184,"endHours":6.827360536410434,"quality":"inauspicious"},{"name":"Śubha","start":"06:50","end":"08:31","startHours":6.827360536410434,"endHours":8.515129108571685,"quality":"auspicious"},{"name":"Roga","start":"08:31","end":"10:12","startHours":8.515129108571685,"endHours":10.202897680732935,"quality":"inauspicious"},{"name":"Udveg","start":"10:12","end":"11:53","startHours":10.202897680732935,"endHours":11.890666252894185,"quality":"inauspicious"},{"name":"Chala","start":"11:53","end":"13:35","startHours":11.890666252894185,"endHours":13.578434825055435,"quality":"neutral"},{"name":"Labha","start":"13:35","end":"15:16","startHours":13.578434825055435,"endHours":15.266203397216685,"quality":"auspicious"},{"name":"Amṛta","start":"15:16","end":"16:57","startHours":15.266203397216685,"endHours":16.953971969377935,"quality":"auspicious"},{"name":"Kāla","start":"16:57","end":"18:39","startHours":16.953971969377935,"endHours":18.641740541539185,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:39","end":"19:57","startHours":18.641740541539185,"endHours":19.953971969377935,"quality":"auspicious"},{"name":"Amṛta","start":"19:57","end":"21:16","startHours":19.953971969377935,"endHours":21.266203397216685,"quality":"auspicious"},{"name":"Kāla","start":"21:16","end":"22:35","startHours":21.266203397216685,"endHours":22.578434825055435,"quality":"inauspicious"},{"name":"Śubha","start":"22:35","end":"23:53","startHours":22.578434825055435,"endHours":23.890666252894185,"quality":"auspicious"},{"name":"Roga","start":"23:53","end":"01:12","startHours":23.890666252894185,"endHours":25.202897680732935,"quality":"inauspicious"},{"name":"Udveg","start":"01:12","end":"02:31","startHours":25.202897680732935,"endHours":26.515129108571685,"quality":"inauspicious"},{"name":"Chala","start":"02:31","end":"03:50","startHours":26.515129108571685,"endHours":27.827360536410435,"quality":"neutral"},{"name":"Labha","start":"03:50","end":"05:08","startHours":27.827360536410435,"endHours":29.139591964249185,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:08","end":"06:08","startHours":5.139591964249184,"endHours":6.139591964249184,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:08","end":"07:08","startHours":6.139591964249184,"endHours":7.139591964249184,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:08","end":"08:08","startHours":7.139591964249184,"endHours":8.139591964249185,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:08","end":"09:08","startHours":8.139591964249185,"endHours":9.139591964249185,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:08","end":"10:08","startHours":9.139591964249185,"endHours":10.139591964249185,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:08","end":"11:08","startHours":10.139591964249185,"endHours":11.139591964249185,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:08","end":"12:08","startHours":11.139591964249185,"endHours":12.139591964249185,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:08","end":"13:08","startHours":12.139591964249185,"endHours":13.139591964249185,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:08","end":"14:08","startHours":13.139591964249185,"endHours":14.139591964249185,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:08","end":"15:08","startHours":14.139591964249185,"endHours":15.139591964249185,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:08","end":"16:08","startHours":15.139591964249185,"endHours":16.139591964249185,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:08","end":"17:08","startHours":16.139591964249185,"endHours":17.139591964249185,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:08","end":"18:08","startHours":17.139591964249185,"endHours":18.139591964249185,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:08","end":"19:08","startHours":18.139591964249185,"endHours":19.139591964249185,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:08","end":"20:08","startHours":19.139591964249185,"endHours":20.139591964249185,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:08","end":"21:08","startHours":20.139591964249185,"endHours":21.139591964249185,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:08","end":"22:08","startHours":21.139591964249185,"endHours":22.139591964249185,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:08","end":"23:08","startHours":22.139591964249185,"endHours":23.139591964249185,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:08","end":"00:08","startHours":23.139591964249185,"endHours":24.139591964249185,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:08","end":"01:08","startHours":24.139591964249185,"endHours":25.139591964249185,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:08","end":"02:08","startHours":25.139591964249185,"endHours":26.139591964249185,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:08","end":"03:08","startHours":26.139591964249185,"endHours":27.139591964249185,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:08","end":"04:08","startHours":27.139591964249185,"endHours":28.139591964249185,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:08","end":"05:08","startHours":28.139591964249185,"endHours":29.139591964249185,"planetary_lord":"Mercury"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":22.43970501277716,"eotMinutes":-4.678375173651213,"ayanamsa":24.4888}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"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 Navamī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"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 8, 2045 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 8, 2045 CE for Ranchi, Jharkhand: Kṛṣṇa Navamī, sūryodaya 05:08, sūryāsta 18:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2045-07-08","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2045-07-08","sa":"https://sa.vidhyamitra.com/city/ranchi/2045-07-08","hi":"https://hi.vidhyamitra.com/city/ranchi/2045-07-08","x-default":"https://vidhyamitra.com/city/ranchi/2045-07-08"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T22:02:11.238Z","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":"2026-05-31T22:02:11.239Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T22:02:11.239Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}