{"id":"vidhyamitra:city-day:berlin:2138-07-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2138-07-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2138-07-30","date_display":"July 30, 2138 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":2138,"month":7,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502158.770833,"kali_year":5240,"ahargana":1913693.2708,"sun":{"sidereal_longitude":100.2329,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":20.2547,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":280.0218,"elapsed_within_tithi_degrees":4.0218},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":20.2547,"elapsed_within_degrees":6.9213},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":120.4876},"karana":{"half_tithi_index":46,"name":"Taitila"},"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":2138,"month":7,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502158.770833,"ahargana":1913693.2708,"kali_year":5240,"ayanamsa_lahiri":25.7888,"grahas":{"sun":{"sidereal_longitude":101.078192,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":23.842491999999993,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":4.3833},"mars":{"sidereal_longitude":165.67509199999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":79.47119199999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":242.011892,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":true},"venus":{"sidereal_longitude":143.440492,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":275.24839199999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":303.3212,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":123.3212,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"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":2138,"month":7,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502158.770833,"kali_year":5240,"ahargana":1913693.2708,"sun":{"sidereal_longitude":100.2329,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":20.2547,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":280.0218,"elapsed_within_tithi_degrees":4.0218},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":20.2547,"elapsed_within_degrees":6.9213},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":120.4876},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.383,"elongation":79.978},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.383,"opposition_distance":100.022}},"eclipse_window_40days":[]},"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":"04:22","sunsetLocal":"20:03","solarNoonLocal":"12:12","dayLengthHours":15.676909177924077,"dayLengthDisplay":"15 Hours 40 Mins 37 Secs","nightLengthDisplay":"8 Hours 19 Mins 23 Secs","moonriseLocal":"23:21","moonsetLocal":"14:46","rahuKala":{"name":"Rāhu Kāla","start":"12:12","end":"14:10","startHours":12.208244761946338,"endHours":14.167858409186847,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:20","end":"08:17","startHours":6.329403820224808,"endHours":8.289017467465317,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:15","end":"12:12","startHours":10.248631114705828,"endHours":12.208244761946338,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:02","end":"08:33","startHours":8.02773564783325,"endHours":8.550299287097387,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:01","end":"05:26","startHours":5.022994722064469,"endHours":5.441045633475778,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:44","startHours":11.685681122682201,"endHours":12.730808401210474,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:17","end":"03:19","startHours":2.279535615927755,"endHours":3.324662894456027,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:04","end":"04:22","startHours":3.063381074823959,"endHours":4.369790172984299,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:49","end":"15:52","startHours":14.821062958267017,"endHours":15.866190236795289,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:51","end":"20:15","startHours":19.846699350908377,"endHours":20.246699350908376,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:03","end":"20:42","startHours":20.046699350908376,"endHours":20.699903899988545,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:48","end":"21:33","startHours":19.796699350908376,"endHours":21.546699350908376,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:44","startHours":23.685681122682205,"endHours":24.730808401210474,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"04:22","end":"06:20","startHours":4.369790172984299,"endHours":6.329403820224808,"quality":"auspicious"},{"name":"Amṛta","start":"06:20","end":"08:17","startHours":6.329403820224808,"endHours":8.289017467465317,"quality":"auspicious"},{"name":"Kāla","start":"08:17","end":"10:15","startHours":8.289017467465317,"endHours":10.248631114705828,"quality":"inauspicious"},{"name":"Śubha","start":"10:15","end":"12:12","startHours":10.248631114705828,"endHours":12.208244761946338,"quality":"auspicious"},{"name":"Roga","start":"12:12","end":"14:10","startHours":12.208244761946338,"endHours":14.167858409186847,"quality":"inauspicious"},{"name":"Udveg","start":"14:10","end":"16:08","startHours":14.167858409186847,"endHours":16.127472056427358,"quality":"inauspicious"},{"name":"Chala","start":"16:08","end":"18:05","startHours":16.127472056427358,"endHours":18.087085703667867,"quality":"neutral"},{"name":"Labha","start":"18:05","end":"20:03","startHours":18.087085703667867,"endHours":20.046699350908376,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"20:03","end":"21:05","startHours":20.046699350908376,"endHours":21.087085703667867,"quality":"inauspicious"},{"name":"Chala","start":"21:05","end":"22:08","startHours":21.087085703667867,"endHours":22.127472056427358,"quality":"neutral"},{"name":"Labha","start":"22:08","end":"23:10","startHours":22.127472056427358,"endHours":23.16785840918685,"quality":"auspicious"},{"name":"Amṛta","start":"23:10","end":"00:12","startHours":23.16785840918685,"endHours":24.20824476194634,"quality":"auspicious"},{"name":"Kāla","start":"00:12","end":"01:15","startHours":24.20824476194634,"endHours":25.24863111470583,"quality":"inauspicious"},{"name":"Śubha","start":"01:15","end":"02:17","startHours":25.24863111470583,"endHours":26.289017467465317,"quality":"auspicious"},{"name":"Roga","start":"02:17","end":"03:20","startHours":26.289017467465317,"endHours":27.329403820224808,"quality":"inauspicious"},{"name":"Udveg","start":"03:20","end":"04:22","startHours":27.329403820224808,"endHours":28.3697901729843,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:22","end":"05:22","startHours":4.369790172984299,"endHours":5.369790172984299,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"05:22","end":"06:22","startHours":5.369790172984299,"endHours":6.369790172984299,"planetary_lord":"Venus"},{"name":"Hora 3","start":"06:22","end":"07:22","startHours":6.369790172984299,"endHours":7.369790172984299,"planetary_lord":"Sun"},{"name":"Hora 4","start":"07:22","end":"08:22","startHours":7.369790172984299,"endHours":8.369790172984299,"planetary_lord":"Mars"},{"name":"Hora 5","start":"08:22","end":"09:22","startHours":8.369790172984299,"endHours":9.369790172984299,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"09:22","end":"10:22","startHours":9.369790172984299,"endHours":10.369790172984299,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"10:22","end":"11:22","startHours":10.369790172984299,"endHours":11.369790172984299,"planetary_lord":"Moon"},{"name":"Hora 8","start":"11:22","end":"12:22","startHours":11.369790172984299,"endHours":12.369790172984299,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"12:22","end":"13:22","startHours":12.369790172984299,"endHours":13.369790172984299,"planetary_lord":"Venus"},{"name":"Hora 10","start":"13:22","end":"14:22","startHours":13.369790172984299,"endHours":14.369790172984299,"planetary_lord":"Sun"},{"name":"Hora 11","start":"14:22","end":"15:22","startHours":14.369790172984299,"endHours":15.369790172984299,"planetary_lord":"Mars"},{"name":"Hora 12","start":"15:22","end":"16:22","startHours":15.369790172984299,"endHours":16.3697901729843,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"16:22","end":"17:22","startHours":16.3697901729843,"endHours":17.3697901729843,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"17:22","end":"18:22","startHours":17.3697901729843,"endHours":18.3697901729843,"planetary_lord":"Moon"},{"name":"Hora 15","start":"18:22","end":"19:22","startHours":18.3697901729843,"endHours":19.3697901729843,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"19:22","end":"20:22","startHours":19.3697901729843,"endHours":20.3697901729843,"planetary_lord":"Venus"},{"name":"Hora 17","start":"20:22","end":"21:22","startHours":20.3697901729843,"endHours":21.3697901729843,"planetary_lord":"Sun"},{"name":"Hora 18","start":"21:22","end":"22:22","startHours":21.3697901729843,"endHours":22.3697901729843,"planetary_lord":"Mars"},{"name":"Hora 19","start":"22:22","end":"23:22","startHours":22.3697901729843,"endHours":23.3697901729843,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"23:22","end":"00:22","startHours":23.3697901729843,"endHours":24.3697901729843,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"00:22","end":"01:22","startHours":24.3697901729843,"endHours":25.3697901729843,"planetary_lord":"Moon"},{"name":"Hora 22","start":"01:22","end":"02:22","startHours":25.3697901729843,"endHours":26.3697901729843,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"02:22","end":"03:22","startHours":26.3697901729843,"endHours":27.3697901729843,"planetary_lord":"Venus"},{"name":"Hora 24","start":"03:22","end":"04:22","startHours":27.3697901729843,"endHours":28.3697901729843,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","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":18.55398678438513,"eotMinutes":-6.1146857167802535,"ayanamsa":25.7888}},"calendars":{"vikram_samvat":2195,"vikram_samvatsara":"Virodhakṛt","saka_samvat":2060,"saka_samvatsara":"Vilambī","bengali_samvat":1545,"malayalam_era":1314,"nanakshahi_year":669,"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 Navamī · Vikram 2195 Virodhakṛt · Śaka 2060 Vilambī"},"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":"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 30, 2138 CE · Berlin, Germany · Vidhyamitra","description":"July 30, 2138 CE for Berlin, Germany: Kṛṣṇa Navamī, sūryodaya 04:22, sūryāsta 20:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2138-07-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2138-07-30","sa":"https://sa.vidhyamitra.com/city/berlin/2138-07-30","hi":"https://hi.vidhyamitra.com/city/berlin/2138-07-30","x-default":"https://vidhyamitra.com/city/berlin/2138-07-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T14:49:27.066Z","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":"2026-06-01T14:49:27.066Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T14:49:27.066Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}