{"id":"vidhyamitra:city-day:badrinath:2102-07-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2102-07-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-07-04","date_display":"July 4, 2102 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":2102,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488983.770833,"kali_year":5204,"ahargana":1900518.2708,"sun":{"sidereal_longitude":75.8984,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":299.7508,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.8524,"elapsed_within_tithi_degrees":7.8524},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":299.7508,"elapsed_within_degrees":6.4175},"yoga":{"number":2,"name":"Prīti","sum_longitude":15.6492},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2102,"month":7,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488983.770833,"ahargana":1900518.2708,"kali_year":5204,"ayanamsa_lahiri":25.2849,"grahas":{"sun":{"sidereal_longitude":76.485274,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":302.98697400000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false,"latitude":1.4157},"mars":{"sidereal_longitude":120.42117400000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":78.860974,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":230.78427399999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":51.546073999999976,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":197.44807400000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":281.3961,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":101.3961,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2102,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488983.770833,"kali_year":5204,"ahargana":1900518.2708,"sun":{"sidereal_longitude":75.8984,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":299.7508,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.8524,"elapsed_within_tithi_degrees":7.8524},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":299.7508,"elapsed_within_degrees":6.4175},"yoga":{"number":2,"name":"Prīti","sum_longitude":15.6492},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.416,"elongation":136.148},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.416,"opposition_distance":43.852}},"eclipse_window_40days":[{"offset_days":11,"type":"solar","occurs":true,"moon_latitude":1.294,"elongation":2.229}]},"city":{"slug":"badrinath","name":"Badarīnāth","lat":30.7433,"lon":79.4938,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha","elevation_m":3133},"tier2":{"city":{"slug":"badrinath","name":"Badarīnāth","lat":30.7433,"lon":79.4938,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha","elevation_m":3133},"sunriseLocal":"05:13","sunsetLocal":"19:19","solarNoonLocal":"12:16","dayLengthHours":14.086950873321546,"dayLengthDisplay":"14 Hours 05 Mins 13 Secs","nightLengthDisplay":"9 Hours 54 Mins 47 Secs","moonriseLocal":"21:48","moonsetLocal":"08:56","rahuKala":{"name":"Rāhu Kāla","start":"15:47","end":"17:33","startHours":15.789139605939758,"endHours":17.550008465104952,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:45","end":"10:30","startHours":8.745664169278985,"endHours":10.506533028444178,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:16","end":"14:02","startHours":12.26740188760937,"endHours":14.028270746774565,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:31","end":"08:59","startHours":8.510881654723626,"endHours":8.980446683834344,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:49","end":"06:11","startHours":5.810882737336996,"endHours":6.1865347606255705,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:44","startHours":11.797836858498652,"endHours":12.736966916720089,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:21","end":"04:17","startHours":3.345666334505725,"endHours":4.284796392727162,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:03","end":"05:13","startHours":4.050013878171803,"endHours":5.223926450948598,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:33","startHours":14.615227033162963,"endHours":15.5543570913844,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:07","end":"19:31","startHours":19.110877324270145,"endHours":19.510877324270144,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:19","end":"19:54","startHours":19.310877324270145,"endHours":19.89783361065854,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:04","end":"20:49","startHours":19.060877324270145,"endHours":20.810877324270145,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:44","startHours":23.797836858498652,"endHours":24.73696691672009,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:13","end":"06:59","startHours":5.223926450948598,"endHours":6.984795310113792,"quality":"inauspicious"},{"name":"Udveg","start":"06:59","end":"08:45","startHours":6.984795310113792,"endHours":8.745664169278985,"quality":"inauspicious"},{"name":"Chala","start":"08:45","end":"10:30","startHours":8.745664169278985,"endHours":10.506533028444178,"quality":"neutral"},{"name":"Labha","start":"10:30","end":"12:16","startHours":10.506533028444178,"endHours":12.26740188760937,"quality":"auspicious"},{"name":"Amṛta","start":"12:16","end":"14:02","startHours":12.26740188760937,"endHours":14.028270746774565,"quality":"auspicious"},{"name":"Kāla","start":"14:02","end":"15:47","startHours":14.028270746774565,"endHours":15.789139605939758,"quality":"inauspicious"},{"name":"Śubha","start":"15:47","end":"17:33","startHours":15.789139605939758,"endHours":17.550008465104952,"quality":"auspicious"},{"name":"Roga","start":"17:33","end":"19:19","startHours":17.550008465104952,"endHours":19.310877324270145,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:19","end":"20:33","startHours":19.310877324270145,"endHours":20.550008465104952,"quality":"inauspicious"},{"name":"Śubha","start":"20:33","end":"21:47","startHours":20.550008465104952,"endHours":21.78913960593976,"quality":"auspicious"},{"name":"Roga","start":"21:47","end":"23:02","startHours":21.78913960593976,"endHours":23.028270746774567,"quality":"inauspicious"},{"name":"Udveg","start":"23:02","end":"00:16","startHours":23.028270746774567,"endHours":24.26740188760937,"quality":"inauspicious"},{"name":"Chala","start":"00:16","end":"01:30","startHours":24.26740188760937,"endHours":25.506533028444178,"quality":"neutral"},{"name":"Labha","start":"01:30","end":"02:45","startHours":25.506533028444178,"endHours":26.745664169278985,"quality":"auspicious"},{"name":"Amṛta","start":"02:45","end":"03:59","startHours":26.745664169278985,"endHours":27.98479531011379,"quality":"auspicious"},{"name":"Kāla","start":"03:59","end":"05:13","startHours":27.98479531011379,"endHours":29.223926450948596,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:13","end":"06:13","startHours":5.223926450948598,"endHours":6.223926450948598,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:13","end":"07:13","startHours":6.223926450948598,"endHours":7.223926450948598,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:13","end":"08:13","startHours":7.223926450948598,"endHours":8.223926450948598,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:13","end":"09:13","startHours":8.223926450948598,"endHours":9.223926450948598,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:13","end":"10:13","startHours":9.223926450948598,"endHours":10.223926450948598,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:13","end":"11:13","startHours":10.223926450948598,"endHours":11.223926450948598,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:13","end":"12:13","startHours":11.223926450948598,"endHours":12.223926450948598,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:13","end":"13:13","startHours":12.223926450948598,"endHours":13.223926450948598,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:13","end":"14:13","startHours":13.223926450948598,"endHours":14.223926450948598,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:13","end":"15:13","startHours":14.223926450948598,"endHours":15.223926450948598,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:13","end":"16:13","startHours":15.223926450948598,"endHours":16.223926450948596,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:13","end":"17:13","startHours":16.223926450948596,"endHours":17.223926450948596,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:13","end":"18:13","startHours":17.223926450948596,"endHours":18.223926450948596,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:13","end":"19:13","startHours":18.223926450948596,"endHours":19.223926450948596,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:13","end":"20:13","startHours":19.223926450948596,"endHours":20.223926450948596,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:13","end":"21:13","startHours":20.223926450948596,"endHours":21.223926450948596,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:13","end":"22:13","startHours":21.223926450948596,"endHours":22.223926450948596,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:13","end":"23:13","startHours":22.223926450948596,"endHours":23.223926450948596,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:13","end":"00:13","startHours":23.223926450948596,"endHours":24.223926450948596,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:13","end":"01:13","startHours":24.223926450948596,"endHours":25.223926450948596,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:13","end":"02:13","startHours":25.223926450948596,"endHours":26.223926450948596,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:13","end":"03:13","startHours":26.223926450948596,"endHours":27.223926450948596,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:13","end":"04:13","startHours":27.223926450948596,"endHours":28.223926450948596,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:13","end":"05:13","startHours":28.223926450948596,"endHours":29.223926450948596,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Dhūmra","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":22.915281172846854,"eotMinutes":-4.019313256562166,"ayanamsa":25.2849}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"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 Caturthī · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"badrinath"},"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, 2102 CE · Badarīnāth · Vidhyamitra","description":"July 4, 2102 CE for Badarīnāth: Kṛṣṇa Caturthī, sūryodaya 05:13, sūryāsta 19:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2102-07-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2102-07-04","sa":"https://sa.vidhyamitra.com/city/badrinath/2102-07-04","hi":"https://hi.vidhyamitra.com/city/badrinath/2102-07-04","x-default":"https://vidhyamitra.com/city/badrinath/2102-07-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T13:02:34.975Z","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":"2026-06-01T13:02:34.975Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T13:02:34.975Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}