{"id":"vidhyamitra:city-day:badrinath:2115-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2115-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-07-31","date_display":"July 31, 2115 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2115,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493758.770833,"kali_year":5217,"ahargana":1905293.2708,"sun":{"sidereal_longitude":101.1364,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":217.1744,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":116.038,"elapsed_within_tithi_degrees":8.038},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":217.1744,"elapsed_within_degrees":3.841},"yoga":{"number":24,"name":"Śukla","sum_longitude":318.3108},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2115,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493758.770833,"ahargana":1905293.2708,"kali_year":5217,"ayanamsa_lahiri":25.4675,"grahas":{"sun":{"sidereal_longitude":101.93213400000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":220.10513400000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false,"latitude":-0.6863},"mars":{"sidereal_longitude":119.597734,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":124.61983399999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":268.77973399999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":103.55303399999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":358.282634,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":28.3936,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":208.3936,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2115,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493758.770833,"kali_year":5217,"ahargana":1905293.2708,"sun":{"sidereal_longitude":101.1364,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":217.1744,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":116.038,"elapsed_within_tithi_degrees":8.038},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":217.1744,"elapsed_within_degrees":3.841},"yoga":{"number":24,"name":"Śukla","sum_longitude":318.3108},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.686,"elongation":116.038},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.686,"opposition_distance":63.962}},"eclipse_window_40days":[]},"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":"05:28","sunsetLocal":"19:08","solarNoonLocal":"12:18","dayLengthHours":13.662491502884562,"dayLengthDisplay":"13 Hours 39 Mins 45 Secs","nightLengthDisplay":"10 Hours 20 Mins 15 Secs","moonriseLocal":"15:01","moonsetLocal":"01:20","rahuKala":{"name":"Rāhu Kāla","start":"12:18","end":"14:01","startHours":12.30160290853918,"endHours":14.009414346399751,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:11","end":"08:53","startHours":7.178168594957471,"endHours":8.885980032818042,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:36","end":"12:18","startHours":10.59379147067861,"endHours":12.30160290853918,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:39","end":"09:07","startHours":8.658271841103298,"endHours":9.113688224532783,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:02","end":"06:24","startHours":6.0396276363837575,"endHours":6.403960743127346,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:45","startHours":11.846186525109696,"endHours":12.757019291968666,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:39","end":"04:34","startHours":3.6486916233789595,"endHours":4.55952439023793,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:20","end":"05:28","startHours":4.331816198523187,"endHours":5.470357157096901,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:35","end":"15:29","startHours":14.578684825686608,"endHours":15.489517592545578,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:56","end":"19:20","startHours":18.932848659981463,"endHours":19.33284865998146,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:08","end":"19:42","startHours":19.132848659981462,"endHours":19.70211913926832,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:53","end":"20:38","startHours":18.882848659981462,"endHours":20.632848659981462,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:45","startHours":23.846186525109694,"endHours":24.757019291968668,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:28","end":"07:11","startHours":5.470357157096901,"endHours":7.178168594957471,"quality":"auspicious"},{"name":"Amṛta","start":"07:11","end":"08:53","startHours":7.178168594957471,"endHours":8.885980032818042,"quality":"auspicious"},{"name":"Kāla","start":"08:53","end":"10:36","startHours":8.885980032818042,"endHours":10.59379147067861,"quality":"inauspicious"},{"name":"Śubha","start":"10:36","end":"12:18","startHours":10.59379147067861,"endHours":12.30160290853918,"quality":"auspicious"},{"name":"Roga","start":"12:18","end":"14:01","startHours":12.30160290853918,"endHours":14.009414346399751,"quality":"inauspicious"},{"name":"Udveg","start":"14:01","end":"15:43","startHours":14.009414346399751,"endHours":15.717225784260322,"quality":"inauspicious"},{"name":"Chala","start":"15:43","end":"17:26","startHours":15.717225784260322,"endHours":17.425037222120892,"quality":"neutral"},{"name":"Labha","start":"17:26","end":"19:08","startHours":17.425037222120892,"endHours":19.132848659981462,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:08","end":"20:26","startHours":19.132848659981462,"endHours":20.425037222120892,"quality":"inauspicious"},{"name":"Chala","start":"20:26","end":"21:43","startHours":20.425037222120892,"endHours":21.71722578426032,"quality":"neutral"},{"name":"Labha","start":"21:43","end":"23:01","startHours":21.71722578426032,"endHours":23.00941434639975,"quality":"auspicious"},{"name":"Amṛta","start":"23:01","end":"00:18","startHours":23.00941434639975,"endHours":24.30160290853918,"quality":"auspicious"},{"name":"Kāla","start":"00:18","end":"01:36","startHours":24.30160290853918,"endHours":25.59379147067861,"quality":"inauspicious"},{"name":"Śubha","start":"01:36","end":"02:53","startHours":25.59379147067861,"endHours":26.88598003281804,"quality":"auspicious"},{"name":"Roga","start":"02:53","end":"04:11","startHours":26.88598003281804,"endHours":28.17816859495747,"quality":"inauspicious"},{"name":"Udveg","start":"04:11","end":"05:28","startHours":28.17816859495747,"endHours":29.4703571570969,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.470357157096901,"endHours":6.470357157096901,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.470357157096901,"endHours":7.470357157096901,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.470357157096901,"endHours":8.4703571570969,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.4703571570969,"endHours":9.4703571570969,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.4703571570969,"endHours":10.4703571570969,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.4703571570969,"endHours":11.4703571570969,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.4703571570969,"endHours":12.4703571570969,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.4703571570969,"endHours":13.4703571570969,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.4703571570969,"endHours":14.4703571570969,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.4703571570969,"endHours":15.4703571570969,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.4703571570969,"endHours":16.4703571570969,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.4703571570969,"endHours":17.4703571570969,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.4703571570969,"endHours":18.4703571570969,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.4703571570969,"endHours":19.4703571570969,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.4703571570969,"endHours":20.4703571570969,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.4703571570969,"endHours":21.4703571570969,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.4703571570969,"endHours":22.4703571570969,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.4703571570969,"endHours":23.4703571570969,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.4703571570969,"endHours":24.4703571570969,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.4703571570969,"endHours":25.4703571570969,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.4703571570969,"endHours":26.4703571570969,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.4703571570969,"endHours":27.4703571570969,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.4703571570969,"endHours":28.4703571570969,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.4703571570969,"endHours":29.4703571570969,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"South-West","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.419141707811566,"eotMinutes":-6.071374512350812,"ayanamsa":25.4675}},"calendars":{"vikram_samvat":2172,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2037,"saka_samvatsara":"Yuva","bengali_samvat":1522,"malayalam_era":1291,"nanakshahi_year":646,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","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 Śukla Daśamī · Vikram 2172 Sarvadhāri · Śaka 2037 Yuva"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 31, 2115 CE · Badarīnāth · Vidhyamitra","description":"July 31, 2115 CE for Badarīnāth: Śukla Daśamī, sūryodaya 05:28, sūryāsta 19:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2115-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2115-07-31","sa":"https://sa.vidhyamitra.com/city/badrinath/2115-07-31","hi":"https://hi.vidhyamitra.com/city/badrinath/2115-07-31","x-default":"https://vidhyamitra.com/city/badrinath/2115-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-08T22:32:54.703Z","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":"2026-08-08T22:32:54.703Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-08T22:32:54.703Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}