{"id":"vidhyamitra:city-day:berlin:2139-07-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2139-07-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2139-07-15","date_display":"July 15, 2139 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":2139,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502508.770833,"kali_year":5241,"ahargana":1914043.2708,"sun":{"sidereal_longitude":85.7675,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":304.5197,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.7522,"elapsed_within_tithi_degrees":2.7522},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":304.5197,"elapsed_within_degrees":11.1864},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":30.2872},"karana":{"half_tithi_index":36,"name":"Bava"},"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":2139,"month":7,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502508.770833,"ahargana":1914043.2708,"kali_year":5241,"ayanamsa_lahiri":25.8022,"grahas":{"sun":{"sidereal_longitude":86.51542,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":307.06741999999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":1.5187},"mars":{"sidereal_longitude":61.80662000000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":63.58512000000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":281.41041999999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":true},"venus":{"sidereal_longitude":85.22872000000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":288.79161999999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":284.7765,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":104.7765,"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":2139,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502508.770833,"kali_year":5241,"ahargana":1914043.2708,"sun":{"sidereal_longitude":85.7675,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":304.5197,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.7522,"elapsed_within_tithi_degrees":2.7522},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":304.5197,"elapsed_within_degrees":11.1864},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":30.2872},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.519,"elongation":141.248},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.519,"opposition_distance":38.752}},"eclipse_window_40days":[{"offset_days":11,"type":"solar","occurs":true,"moon_latitude":0.42,"elongation":2.643}]},"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"tier2":{"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"sunriseLocal":"04:01","sunsetLocal":"20:23","solarNoonLocal":"12:12","dayLengthHours":16.373723093689946,"dayLengthDisplay":"16 Hours 22 Mins 25 Secs","nightLengthDisplay":"7 Hours 37 Mins 35 Secs","moonriseLocal":"21:46","moonsetLocal":"08:03","rahuKala":{"name":"Rāhu Kāla","start":"12:12","end":"14:15","startHours":12.199393518439587,"endHours":14.24610890515083,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:04","end":"08:06","startHours":6.059247358305857,"endHours":8.1059627450171,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:09","end":"12:12","startHours":10.152678131728344,"endHours":12.199393518439587,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:50","end":"08:23","startHours":7.833067360122268,"endHours":8.378858129911933,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:42","end":"05:08","startHours":4.694770433831695,"endHours":5.131403049663427,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:45","startHours":11.65360274864992,"endHours":12.74518428822925,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:50","end":"02:55","startHours":1.8293688924359541,"endHours":2.920950432015284,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:39","end":"04:01","startHours":2.6480550471204514,"endHours":4.012531971594614,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:56","end":"16:01","startHours":14.928347367387913,"endHours":16.01992890696724,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:11","end":"20:35","startHours":20.18625506528456,"endHours":20.586255065284558,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:23","end":"21:04","startHours":20.38625506528456,"endHours":21.06849352752164,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:08","end":"21:53","startHours":20.13625506528456,"endHours":21.88625506528456,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:45","startHours":23.65360274864992,"endHours":24.74518428822925,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"04:01","end":"06:04","startHours":4.012531971594614,"endHours":6.059247358305857,"quality":"auspicious"},{"name":"Amṛta","start":"06:04","end":"08:06","startHours":6.059247358305857,"endHours":8.1059627450171,"quality":"auspicious"},{"name":"Kāla","start":"08:06","end":"10:09","startHours":8.1059627450171,"endHours":10.152678131728344,"quality":"inauspicious"},{"name":"Śubha","start":"10:09","end":"12:12","startHours":10.152678131728344,"endHours":12.199393518439587,"quality":"auspicious"},{"name":"Roga","start":"12:12","end":"14:15","startHours":12.199393518439587,"endHours":14.24610890515083,"quality":"inauspicious"},{"name":"Udveg","start":"14:15","end":"16:18","startHours":14.24610890515083,"endHours":16.292824291862075,"quality":"inauspicious"},{"name":"Chala","start":"16:18","end":"18:20","startHours":16.292824291862075,"endHours":18.339539678573317,"quality":"neutral"},{"name":"Labha","start":"18:20","end":"20:23","startHours":18.339539678573317,"endHours":20.38625506528456,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"20:23","end":"21:20","startHours":20.38625506528456,"endHours":21.339539678573317,"quality":"inauspicious"},{"name":"Chala","start":"21:20","end":"22:18","startHours":21.339539678573317,"endHours":22.292824291862072,"quality":"neutral"},{"name":"Labha","start":"22:18","end":"23:15","startHours":22.292824291862072,"endHours":23.246108905150827,"quality":"auspicious"},{"name":"Amṛta","start":"23:15","end":"00:12","startHours":23.246108905150827,"endHours":24.199393518439585,"quality":"auspicious"},{"name":"Kāla","start":"00:12","end":"01:09","startHours":24.199393518439585,"endHours":25.152678131728344,"quality":"inauspicious"},{"name":"Śubha","start":"01:09","end":"02:06","startHours":25.152678131728344,"endHours":26.1059627450171,"quality":"auspicious"},{"name":"Roga","start":"02:06","end":"03:04","startHours":26.1059627450171,"endHours":27.059247358305853,"quality":"inauspicious"},{"name":"Udveg","start":"03:04","end":"04:01","startHours":27.059247358305853,"endHours":28.012531971594612,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:01","end":"05:01","startHours":4.012531971594614,"endHours":5.012531971594614,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"05:01","end":"06:01","startHours":5.012531971594614,"endHours":6.012531971594614,"planetary_lord":"Venus"},{"name":"Hora 3","start":"06:01","end":"07:01","startHours":6.012531971594614,"endHours":7.012531971594614,"planetary_lord":"Sun"},{"name":"Hora 4","start":"07:01","end":"08:01","startHours":7.012531971594614,"endHours":8.012531971594614,"planetary_lord":"Mars"},{"name":"Hora 5","start":"08:01","end":"09:01","startHours":8.012531971594614,"endHours":9.012531971594614,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"09:01","end":"10:01","startHours":9.012531971594614,"endHours":10.012531971594614,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"10:01","end":"11:01","startHours":10.012531971594614,"endHours":11.012531971594614,"planetary_lord":"Moon"},{"name":"Hora 8","start":"11:01","end":"12:01","startHours":11.012531971594614,"endHours":12.012531971594614,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"12:01","end":"13:01","startHours":12.012531971594614,"endHours":13.012531971594614,"planetary_lord":"Venus"},{"name":"Hora 10","start":"13:01","end":"14:01","startHours":13.012531971594614,"endHours":14.012531971594614,"planetary_lord":"Sun"},{"name":"Hora 11","start":"14:01","end":"15:01","startHours":14.012531971594614,"endHours":15.012531971594614,"planetary_lord":"Mars"},{"name":"Hora 12","start":"15:01","end":"16:01","startHours":15.012531971594614,"endHours":16.012531971594612,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"16:01","end":"17:01","startHours":16.012531971594612,"endHours":17.012531971594612,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"17:01","end":"18:01","startHours":17.012531971594612,"endHours":18.012531971594612,"planetary_lord":"Moon"},{"name":"Hora 15","start":"18:01","end":"19:01","startHours":18.012531971594612,"endHours":19.012531971594612,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"19:01","end":"20:01","startHours":19.012531971594612,"endHours":20.012531971594612,"planetary_lord":"Venus"},{"name":"Hora 17","start":"20:01","end":"21:01","startHours":20.012531971594612,"endHours":21.012531971594612,"planetary_lord":"Sun"},{"name":"Hora 18","start":"21:01","end":"22:01","startHours":21.012531971594612,"endHours":22.012531971594612,"planetary_lord":"Mars"},{"name":"Hora 19","start":"22:01","end":"23:01","startHours":22.012531971594612,"endHours":23.012531971594612,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"23:01","end":"00:01","startHours":23.012531971594612,"endHours":24.012531971594612,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"00:01","end":"01:01","startHours":24.012531971594612,"endHours":25.012531971594612,"planetary_lord":"Moon"},{"name":"Hora 22","start":"01:01","end":"02:01","startHours":25.012531971594612,"endHours":26.012531971594612,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"02:01","end":"03:01","startHours":26.012531971594612,"endHours":27.012531971594612,"planetary_lord":"Venus"},{"name":"Hora 24","start":"03:01","end":"04:01","startHours":27.012531971594612,"endHours":28.012531971594612,"planetary_lord":"Sun"}],"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":"South-West","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.58859743192647,"eotMinutes":-5.583611106375076,"ayanamsa":25.8022}},"calendars":{"vikram_samvat":2196,"vikram_samvatsara":"Paridhāvi","saka_samvat":2061,"saka_samvatsara":"Vikāri","bengali_samvat":1546,"malayalam_era":1315,"nanakshahi_year":670,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Caturthī · Vikram 2196 Paridhāvi · Śaka 2061 Vikāri"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"precedence":5},{"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":"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":"berlin"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 15, 2139 CE · Berlin, Germany · Vidhyamitra","description":"July 15, 2139 CE for Berlin, Germany: Kṛṣṇa Caturthī, sūryodaya 04:01, sūryāsta 20:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2139-07-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2139-07-15","sa":"https://sa.vidhyamitra.com/city/berlin/2139-07-15","hi":"https://hi.vidhyamitra.com/city/berlin/2139-07-15","x-default":"https://vidhyamitra.com/city/berlin/2139-07-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-26T20:42:09.646Z","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":"2026-05-26T20:42:09.646Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-26T20:42:09.646Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}