{"id":"vidhyamitra:city-day:thane:2046-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/thane/2046-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2046-07-31","date_display":"July 31, 2046 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":2046,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468557.770833,"kali_year":5148,"ahargana":1880092.2708,"sun":{"sidereal_longitude":102.8979,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":71.3398,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.4419,"elapsed_within_tithi_degrees":4.4419},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":71.3398,"elapsed_within_degrees":4.6731},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":174.2377},"karana":{"half_tithi_index":54,"name":"Gara"},"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":2046,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468557.770833,"ahargana":1880092.2708,"kali_year":5148,"ayanamsa_lahiri":24.5037,"grahas":{"sun":{"sidereal_longitude":103.537397,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":71.83709699999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false,"latitude":2.4044},"mars":{"sidereal_longitude":192.452497,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":83.335197,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":354.458397,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":82.51969700000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":231.549897,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":283.6639,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":103.6639,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2046,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468557.770833,"kali_year":5148,"ahargana":1880092.2708,"sun":{"sidereal_longitude":102.8979,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":71.3398,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.4419,"elapsed_within_tithi_degrees":4.4419},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":71.3398,"elapsed_within_degrees":4.6731},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":174.2377},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.404,"elongation":31.558},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.404,"opposition_distance":148.442}},"eclipse_window_40days":[{"offset_days":-13,"type":"lunar","occurs":true,"moon_latitude":-0.934,"opposition_distance":1.801}]},"city":{"slug":"thane","name":"Thane, Maharashtra","lat":19.2183,"lon":72.9781,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"thane","name":"Thane, Maharashtra","lat":19.2183,"lon":72.9781,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"sunriseLocal":"06:14","sunsetLocal":"19:14","solarNoonLocal":"12:44","dayLengthHours":13.005138917424778,"dayLengthDisplay":"13 Hours 00 Mins 19 Secs","nightLengthDisplay":"10 Hours 59 Mins 41 Secs","moonriseLocal":"04:00","moonsetLocal":"17:15","rahuKala":{"name":"Rāhu Kāla","start":"15:59","end":"17:37","startHours":15.987267637895377,"endHours":17.612910002573475,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:29","end":"11:07","startHours":9.484698179182988,"endHours":11.110340543861085,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:44","end":"14:22","startHours":12.735982908539182,"endHours":14.36162527321728,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:16","end":"09:42","startHours":9.267945863892574,"endHours":9.7014504944734,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:47","end":"07:07","startHours":6.775294238052826,"endHours":7.122097942517486,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:18","end":"13:10","startHours":12.302478277958356,"endHours":13.169487539120007,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:30","end":"05:22","startHours":4.49939492750349,"endHours":5.3664041886651415,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:09","end":"06:14","startHours":5.1496518733747285,"endHours":6.233413449826793,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:54","end":"15:46","startHours":14.903506061443313,"endHours":15.770515322604965,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:02","end":"19:26","startHours":19.038552367251572,"endHours":19.43855236725157,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:14","end":"19:47","startHours":19.23855236725157,"endHours":19.780433155477603,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:59","end":"20:44","startHours":18.98855236725157,"endHours":20.73855236725157,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:18","end":"01:10","startHours":24.302478277958354,"endHours":25.16948753912001,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:14","end":"07:52","startHours":6.233413449826793,"endHours":7.859055814504891,"quality":"inauspicious"},{"name":"Udveg","start":"07:52","end":"09:29","startHours":7.859055814504891,"endHours":9.484698179182988,"quality":"inauspicious"},{"name":"Chala","start":"09:29","end":"11:07","startHours":9.484698179182988,"endHours":11.110340543861085,"quality":"neutral"},{"name":"Labha","start":"11:07","end":"12:44","startHours":11.110340543861085,"endHours":12.735982908539182,"quality":"auspicious"},{"name":"Amṛta","start":"12:44","end":"14:22","startHours":12.735982908539182,"endHours":14.36162527321728,"quality":"auspicious"},{"name":"Kāla","start":"14:22","end":"15:59","startHours":14.36162527321728,"endHours":15.987267637895377,"quality":"inauspicious"},{"name":"Śubha","start":"15:59","end":"17:37","startHours":15.987267637895377,"endHours":17.612910002573475,"quality":"auspicious"},{"name":"Roga","start":"17:37","end":"19:14","startHours":17.612910002573475,"endHours":19.23855236725157,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:14","end":"20:37","startHours":19.23855236725157,"endHours":20.612910002573475,"quality":"inauspicious"},{"name":"Śubha","start":"20:37","end":"21:59","startHours":20.612910002573475,"endHours":21.98726763789538,"quality":"auspicious"},{"name":"Roga","start":"21:59","end":"23:22","startHours":21.98726763789538,"endHours":23.361625273217278,"quality":"inauspicious"},{"name":"Udveg","start":"23:22","end":"00:44","startHours":23.361625273217278,"endHours":24.73598290853918,"quality":"inauspicious"},{"name":"Chala","start":"00:44","end":"02:07","startHours":24.73598290853918,"endHours":26.110340543861085,"quality":"neutral"},{"name":"Labha","start":"02:07","end":"03:29","startHours":26.110340543861085,"endHours":27.48469817918299,"quality":"auspicious"},{"name":"Amṛta","start":"03:29","end":"04:52","startHours":27.48469817918299,"endHours":28.85905581450489,"quality":"auspicious"},{"name":"Kāla","start":"04:52","end":"06:14","startHours":28.85905581450489,"endHours":30.23341344982679,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:14","end":"07:14","startHours":6.233413449826793,"endHours":7.233413449826793,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:14","end":"08:14","startHours":7.233413449826793,"endHours":8.233413449826793,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:14","end":"09:14","startHours":8.233413449826793,"endHours":9.233413449826793,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:14","end":"10:14","startHours":9.233413449826793,"endHours":10.233413449826793,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:14","end":"11:14","startHours":10.233413449826793,"endHours":11.233413449826793,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:14","end":"12:14","startHours":11.233413449826793,"endHours":12.233413449826793,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:14","end":"13:14","startHours":12.233413449826793,"endHours":13.233413449826793,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:14","end":"14:14","startHours":13.233413449826793,"endHours":14.233413449826793,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:14","end":"15:14","startHours":14.233413449826793,"endHours":15.233413449826793,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:14","end":"16:14","startHours":15.233413449826793,"endHours":16.23341344982679,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:14","end":"17:14","startHours":16.23341344982679,"endHours":17.23341344982679,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:14","end":"18:14","startHours":17.23341344982679,"endHours":18.23341344982679,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:14","end":"19:14","startHours":18.23341344982679,"endHours":19.23341344982679,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:14","end":"20:14","startHours":19.23341344982679,"endHours":20.23341344982679,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:14","end":"21:14","startHours":20.23341344982679,"endHours":21.23341344982679,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:14","end":"22:14","startHours":21.23341344982679,"endHours":22.23341344982679,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:14","end":"23:14","startHours":22.23341344982679,"endHours":23.23341344982679,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:14","end":"00:14","startHours":23.23341344982679,"endHours":24.23341344982679,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:14","end":"01:14","startHours":24.23341344982679,"endHours":25.23341344982679,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:14","end":"02:14","startHours":25.23341344982679,"endHours":26.23341344982679,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:14","end":"03:14","startHours":26.23341344982679,"endHours":27.23341344982679,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:14","end":"04:14","startHours":27.23341344982679,"endHours":28.23341344982679,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:14","end":"05:14","startHours":28.23341344982679,"endHours":29.23341344982679,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:14","end":"06:14","startHours":29.23341344982679,"endHours":30.23341344982679,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Padma","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":18.254701648899033,"eotMinutes":-6.071374512350812,"ayanamsa":24.5037}},"calendars":{"vikram_samvat":2103,"vikram_samvatsara":"Pramāthi","saka_samvat":1968,"saka_samvatsara":"Akṣaya","bengali_samvat":1453,"malayalam_era":1222,"nanakshahi_year":577,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","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 Kṛṣṇa Trayodaśī · Vikram 2103 Pramāthi · Śaka 1968 Akṣaya"},"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":"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":"thane"},"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, 2046 CE · Thane, Maharashtra · Vidhyamitra","description":"July 31, 2046 CE for Thane, Maharashtra: Kṛṣṇa Trayodaśī, sūryodaya 06:14, sūryāsta 19:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/thane/2046-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/thane/2046-07-31","sa":"https://sa.vidhyamitra.com/city/thane/2046-07-31","hi":"https://hi.vidhyamitra.com/city/thane/2046-07-31","x-default":"https://vidhyamitra.com/city/thane/2046-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T20:53:14.492Z","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":"2026-06-01T20:53:14.492Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T20:53:14.492Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}